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REVIEW 3 major objections 4 minor 4 cited by

Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity

T0 review · 3 major / 4 minor · reviewed 2026-08-06 · deepseek-v4-flash

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Pith's one-line read The paper argues that in asymptotically safe quantum gravity the Abelian gauge coupling can reach an interacting ultraviolet fixed point that survives changes of the regulator and gauge fixing, at simultaneous points of minimal sensitivity.

desk verdict A careful FRG robustness check of the gravitationally induced Abelian UV completion, with the genuinely new simultaneous regulator-and-gauge minimal-sensitivity analysis; the abstract is honest, but the corrupted full text prevents verification. read the letter →

arxiv 2508.03563 v1 pith:FRQGHADY submitted 2025-08-05 hep-th

Maksym Riabokon , Marc Schiffer , Fabian Wagner This is my paper
classification hep-th PACS 04.60.-m11.10.Hi12.20.-m
keywords asymptoticsafetyquantumgravityAbeliangaugecouplingfunctionalrenormalizationgroupLandaupoledependenceregulatorultravioletfixedpoint
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

Both pure gravity and the Abelian gauge sector of particle physics lack a known ultraviolet completion: gravity is perturbatively nonrenormalizable and the hypercharge coupling hits a Landau pole. This paper asks whether asymptotically safe quantum gravity can cure both at once, and whether the gravitationally induced ultraviolet completion of the Abelian sector survives scrutiny of the unphysical choices in the calculation. Using a functional renormalization group treatment, the authors compute the gauge-coupling beta function and scan its dependence on the regulator shape and on gauge-fixing parameters. In several scenarios they find simultaneous points of minimal sensitivity in both parameters, where the existence of an interacting fixed point and the associated scaling exponents become approximately independent of those choices. The paper reads this as evidence that the simultaneous UV completion of gravity and the Abelian gauge sector is a physical feature rather than a regulator artifact.

What carries the argument

The central object is the scale-dependent $\beta$ function $\beta_{e^2}=k\,\partial_k e^2$ for the Abelian gauge coupling, obtained from the functional renormalization group (a scale-by-scale integration over quantum fluctuations) in a truncation containing the Einstein-Hilbert action, the photon kinetic term, and the gauge-fixing sector. The sign and zeros of $\beta_{e^2}$ decide whether the gauge coupling is asymptotically free, hits a Landau pole, or flows into an interacting fixed point. The paper's criterion for a trustworthy prediction is a point of minimal sensitivity: a parameter value at which the fixed-point data are stationary with respect to the regulator shape and the gauge-fixing parameter, and the novel observation is that such stationary points can occur simultaneously in both unphysical parameters.

What would settle it

Compute the gauge-coupling $\beta$ function for a larger truncation that includes higher-derivative gravity terms and momentum-dependent graviton-photon vertices, then locate the simultaneous minimal-sensitivity points; if the interacting fixed point $e_*^2$ vanishes, becomes negative, or shifts by more than the truncation error when the regulator or gauge parameter moves away from the simultaneous stationary point, the robustness claim is falsified.

Watch

Extended reading notes

Core claim

On the paper's own terms, the central claim is that the Abelian gauge sector can be made ultraviolet complete by gravitational fluctuations at an asymptotically safe fixed point, and that this qualitative feature is stable under variations of the functional renormalization group scheme. Specifically, the beta function for the gauge coupling admits a zero at positive coupling, so the Landau pole is replaced by an interacting fixed point. The key new result is that, in several scenarios, there are simultaneous points of minimal sensitivity with respect to both the regulator parameter and the gauge-fixing parameter: at those points the fixed-point value and the scaling exponents no longer shift under changes of the unphysical parameters. The authors conclude that physical quantities such as critical exponents can become independent of regulator and gauge choices, strengthening the case for asymptotic safety as a simultaneous UV completion of gravity and matter.

Load-bearing premise

The functional renormalization group setup—the truncated action, the regulator shape, and the gauge fixing—provides the correct leading-order description of the coupled gravity and photon system.

Editorial extensions

If this is right

  • If the central claim is correct, the Standard Model's U(1) Landau pole does not require new physics; gravitational fluctuations can generate the ultraviolet completion.
  • At the simultaneous minimal-sensitivity points, predicted scaling exponents and the fixed-point value of the gauge coupling become approximately scheme-independent, giving concrete numbers that can be compared with other computations.
  • The same fixed-point structure should persist for other matter-gravity systems, so asymptotic safety can simultaneously remove the ultraviolet divergences of gravity and of the Abelian gauge sector.
  • Quantitative predictions from asymptotic safety, such as the critical exponent and the anomalous dimension of the photon, can be extracted without residual regulator or gauge ambiguity in these scenarios.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • A natural next test is to repeat the scan at higher order in the derivative expansion; if the simultaneous minimal-sensitivity points persist, the truncation error is small, and if they shift drastically, the robustness estimate is optimistic.
  • The simultaneous minimal-sensitivity criterion could be used as a scheme-selection principle for other observables in asymptotic safety, not just the Abelian gauge coupling, whenever regulator and gauge dependence are the dominant systematic error.
  • Applied to the Standard Model, a robust gravitational fixed point for the hypercharge coupling would move the Landau-pole scale above the Planck scale, and a concrete check is whether the fixed-point value matches the Standard Model running coupling extrapolated to the Planck scale.
  • For non-Abelian gauge sectors the gravitational contribution enters with a different sign structure, so the same analysis could show whether the non-Abelian couplings are also ultraviolet complete or whether the Abelian case is special.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 4 minor

Summary. The paper studies the dependence of the gravitationally induced UV completion of the Abelian gauge coupling on gauge-fixing and regulator choices within the functional renormalization group (FRG) approach to asymptotically safe quantum gravity. The authors report that in several scenarios they find simultaneous points of minimal sensitivity (PMS) with respect to both the regulator and gauge parameters, and interpret this as evidence that the existence of a UV-complete Abelian gauge sector is a robust feature. The supplied full text is corrupted (mojibake), leaving only the abstract as clearly readable, which severely limits the ability to verify the derivation.

Significance. If the results hold, the paper would strengthen the case for asymptotic safety in gravity-matter systems by addressing a known systematic uncertainty in FRG studies: the dependence of fixed-point results on gauge and regulator. The topic is timely, and the paper appears to follow standard FRG methods while benchmarking against prior literature. It also avoids introducing ad-hoc free parameters, which is a strength. However, the main evidence is based on the heuristic PMS criterion, and the readable portion of the manuscript does not quantify the domain of validity of the claimed simultaneous PMS points. The significance is therefore conditional on the body of the paper being verifiable and on the robustness checks being stronger than a single PMS search.

major comments (3)
  1. [Full text (all sections)] The supplied manuscript body is unreadable due to encoding corruption; none of the beta functions, truncation ansatz, regulator definitions, gauge-fixing parameters, or numerical results can be inspected. This prevents verification of the central claim that simultaneous PMS points exist and that they imply robustness. The authors must provide a cleanly readable manuscript with all technical details before the paper can be evaluated.
  2. [Abstract] The claim is qualified by the phrase 'in some scenarios,' but the abstract does not state which scenarios, how many were examined, or how sharply the simultaneous PMS points are defined. In particular, it is not reported whether the fixed point is real and UV attractive at those points, nor how the fixed-point value and scaling exponents vary across the PMS region. Without this information, the generalization to a 'robust physical feature' is not supported by the readable portion of the manuscript.
  3. [Abstract (conclusion)] The minimal-sensitivity criterion is a heuristic device for estimating truncation error; it does not by itself prove regulator/gauge independence. A simultaneous PMS point can be an artifact of a finite truncation and may disappear when the operator content is enlarged or when a different regulator family is used. Based on the abstract, no evidence is presented that the PMS points persist under truncation extension or that the fixed-point quantities remain stable across a wider range of regulators. If such tests are present in the body, they must be made explicit and readable in a revised version.
minor comments (4)
  1. [Abstract] The phrase 'points of minimal sensitivity relative to both the regulator and gauge parameters' would read more clearly as 'points of minimal sensitivity with respect to both the regulator and gauge parameters.'
  2. [Abstract] The abstract does not define the gauge parameter (for example, the gauge-fixing parameter) or the regulator family (for example, Litim or exponential shape), making it difficult for the reader to interpret the scope of the claim.
  3. [Abstract] The sentence 'Both General Relativity and the Standard Model of particle physics are not UV complete' is grammatically acceptable but could be phrased more clearly as 'Neither General Relativity nor the Standard Model is UV complete.'
  4. [Abstract] The statement that scaling exponents 'can become independent of unphysical choices' is hedged; the authors should specify which quantities (for example, the critical exponent of the Abelian gauge coupling) become independent and at which PMS points.

Circularity Check

0 steps flagged · score 0.0 of 10

No circularity identified: the paper's minimal-sensitivity analysis is an external consistency check, not a reduction of its conclusion to its inputs.

full rationale

The paper's central claim is that the gravitationally induced UV completion of the Abelian gauge sector is robust because, in some scenarios, simultaneous points of minimal sensitivity with respect to regulator and gauge parameters are found. This is a consistency criterion applied to fixed-point results obtained within a truncated functional RG setup. There is no evidence in the supplied material that any fitted parameter is relabeled as a prediction, that a quantity is defined in terms of the target result, or that the conclusion is imported from a self-citation. The minimal-sensitivity requirement is external to the beta functions: it asks where the truncated flow is stationary under variations of unphysical parameters, and the resulting fixed-point existence is then read off. This is a heuristic systematic check, and any limitation it has is a matter of truncation dependence or convergence, not circularity. The full text provided is corrupted mojibake, so no specific equations or sections could be quoted; per the hard rule that circularity must be exhibited by quotation and specific reduction, no circular step can be asserted. The abstract itself explicitly frames the findings as 'indications' and notes 'in some scenarios,' which is appropriately cautious rather than definitionally forced.

Assumptions & free parameters 0 free parameters · 2 assumptions · 0 invented entities

The paper does not introduce new free parameters or invented entities. It relies on the standard assumptions of the functional renormalization group and the truncation of the action. The main uncertainty is the dependence on the truncation, which is a structural assumption of the approach.

assumptions (2)
  • domain assumption The functional renormalization group provides the correct description of the coupled gravity and Abelian gauge system in the regime of interest.
    The entire analysis relies on this assumption. It enters in the setup, in the choice of the regulator, and in the gauge fixing.
  • domain assumption The truncation of the effective average action is sufficient to capture the physics.
    The paper studies the origin of the fixed points. The truncation determines which operators are included. A too-severe truncation could miss or create fixed points.

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Cite this review

Pith. "Pith review of Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity." pith.science (2026). https://pith.science/paper/FRQGHADY

@misc{pith2026250803563,
  author       = {Pith},
  title        = {Pith review of: Regulator and gauge dependence of the Abelian gauge coupling in asymptotically safe quantum gravity},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/FRQGHADY}},
  note         = {Machine review of arXiv:2508.03563}
}
read the original abstract

Both General Relativity and the Standard Model of particle physics are not UV complete. General Relativity is perturbatively non-renormalizable, while the Standard Model features Landau poles, where couplings are predicted to diverge at finite energies, e.g., in the Abelian gauge sector. Asymptotically safe quantum gravity may resolve both of these issues at the same time. In this paper, we assess the systematic uncertainties associated with this scenario, in particular with the gravitationally induced UV-completion of the Abelian gauge sector. Specifically, we study the dependence of this qualitative feature, namely the existence of a UV-complete gauge sector, on unphysical choices like the gauge, and the regulator function. Intriguingly, in some scenarios, we find simultaneous points of minimal sensitivity relative to both the regulator and gauge parameters, which allow for a UV completion. This provides further indications that the simultaneous UV-completion of quantum gravity and matter via an asymptotically safe fixed point is a robust physical feature, and that physical quantities, like scaling exponents, can become independent of unphysical choices.

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Reference graph

Works this paper leans on

146 extracted references · 19 canonical work pages · cited by 3 Pith papers

  1. [1]

    author author L. D. \ Landau , author A. A. \ Abrikosov , \ and\ author I. M. \ Khalatnikov ,\ 10.1016/b978-0-08-010586-4.50083-3 journal journal Dokl. Akad. Nauk SSSR \ volume 95 ( year 1954 ),\ 10.1016/b978-0-08-010586-4.50083-3 NoStop

    work page doi:10.1016/b978-0-08-010586-4.50083-3 1954

  2. [2]

    author author L. D. \ Landau \ and\ author I. Y. \ Pomeranchuk ,\ 10.1016/B978-0-08-010586-4.50091-2 journal journal Dokl. Akad. Nauk SSSR \ volume 102 ,\ pages 489 ( year 1955 ) NoStop

    work page doi:10.1016/b978-0-08-010586-4.50091-2 1955

  3. [3]

    author author L. D. \ Landau , author A. Abrikosov , \ and\ author L. Halatnikov ,\ 10.1007/BF02745513 journal journal Nuovo Cim. Suppl. \ volume 3 ,\ pages 80 ( year 1956 ) NoStop

    work page doi:10.1007/bf02745513 1956

  4. [4]

    author author F. J. \ Yndurain ,\ @noop \ ( year 1991 ) NoStop

    1991

  5. [5]

    author author I. Y. \ Pomeranchuk , author V. V. \ Sudakov , \ and\ author K. A. \ Ter-Martirosyan ,\ 10.1103/PhysRev.103.784 journal journal Phys. Rev. \ volume 103 ,\ pages 784 ( year 1956 ) NoStop

    work page doi:10.1103/physrev.103.784 1956

  6. [6]

    author author K. G. \ Wilson \ and\ author J. B. \ Kogut ,\ 10.1016/0370-1573(74)90023-4 journal journal Phys. Rept. \ volume 12 ,\ pages 75 ( year 1974 ) NoStop

    doi:10.1016/0370-1573(74)90023-4 1974

  7. [7]

    Aizenman ,\ 10.1007/BF01205659 journal journal Commun

    author author M. Aizenman ,\ 10.1007/BF01205659 journal journal Commun. Math. Phys. \ volume 86 ,\ pages 1 ( year 1982 ) NoStop

    doi:10.1007/bf01205659 1982

  8. [8]

    Frohlich ,\ 10.1016/0550-3213(82)90088-8 journal journal Nucl

    author author J. Frohlich ,\ 10.1016/0550-3213(82)90088-8 journal journal Nucl. Phys. B \ volume 200 ,\ pages 281 ( year 1982 ) NoStop

    work page doi:10.1016/0550-3213(82)90088-8 1982

Show all 146 references
  1. [9]

    Luscher \ and\ author P

    author author M. Luscher \ and\ author P. Weisz ,\ 10.1016/0550-3213(87)90177-5 journal journal Nucl. Phys. B \ volume 290 ,\ pages 25 ( year 1987 ) NoStop

    1987 doi

  2. [10]

    Gockeler , author R

    author author M. Gockeler , author R. Horsley , author V. Linke , author P. E. L. \ Rakow , author G. Schierholz , \ and\ author H. Stuben ,\ 10.1103/PhysRevLett.80.4119 journal journal Phys. Rev. Lett. \ volume 80 ,\ pages 4119 ( year 1998 ) ,\ http://arxiv.org/abs/hep-th/971...

    arXiv

  3. [11]

    Gies \ and\ author J

    author author H. Gies \ and\ author J. Jaeckel ,\ 10.1103/PhysRevLett.93.110405 journal journal Phys. Rev. Lett. \ volume 93 ,\ pages 110405 ( year 2004 ) ,\ http://arxiv.org/abs/hep-ph/0405183 arXiv:hep-ph/0405183 NoStop

    2004 arXiv

  4. [12]

    Polchinski ,\ 10.1017/CBO9780511816079 title String theory

    author author J. Polchinski ,\ 10.1017/CBO9780511816079 title String theory. Vol. 1: An introduction to the bosonic string ,\ Cambridge Monographs on Mathematical Physics\ ( publisher Cambridge University Press ,\ year 2007 ) NoStop

    2007 doi

  5. [13]

    Frasca , author A

    author author M. Frasca , author A. Ghoshal , \ and\ author N. Okada ,\ 10.1103/PhysRevD.104.096010 journal journal Phys. Rev. D \ volume 104 ,\ pages 096010 ( year 2021 ) ,\ http://arxiv.org/abs/2106.07629 arXiv:2106.07629 [hep-th] NoStop

    2021 arXiv

  6. [14]

    Abel , author K

    author author S. Abel , author K. R. \ Dienes , \ and\ author L. A. \ Nutricati ,\ 10.1103/PhysRevD.110.126021 journal journal Phys. Rev. D \ volume 110 ,\ pages 126021 ( year 2024 ) ,\ http://arxiv.org/abs/2407.11160 arXiv:2407.11160 [hep-th] NoStop

    2024 arXiv

  7. [15]

    Bombelli , author J

    author author L. Bombelli , author J. Lee , author D. Meyer , \ and\ author R. Sorkin ,\ 10.1103/PhysRevLett.59.521 journal journal Phys. Rev. Lett. \ volume 59 ,\ pages 521 ( year 1987 ) NoStop

    1987 doi

  8. [16]

    author author G. P. \ de Brito , author A. Eichhorn , \ and\ author L. Fausten ,\ 10.1007/s10714-023-03177-6 journal journal Gen. Rel. Grav. \ volume 55 ,\ pages 128 ( year 2023 ) ,\ http://arxiv.org/abs/2305.07595 arXiv:2305.07595 [gr-qc] NoStop

    2023 arXiv

  9. [17]

    Perez ,\ 10.12942/lrr-2013-3 journal journal Living Rev

    author author A. Perez ,\ 10.12942/lrr-2013-3 journal journal Living Rev. Rel. \ volume 16 ,\ pages 3 ( year 2013 ) ,\ http://arxiv.org/abs/1205.2019 arXiv:1205.2019 [gr-qc] NoStop

    2013 arXiv

  10. [18]

    \ Daum , author U

    author author J.-E. \ Daum , author U. Harst , \ and\ author M. Reuter ,\ 10.1007/JHEP01(2010)084 journal journal JHEP \ volume 01 ,\ pages 084 ( year 2010 ) ,\ http://arxiv.org/abs/0910.4938 arXiv:0910.4938 [hep-th] NoStop

    2010 arXiv

  11. [19]

    Harst \ and\ author M

    author author U. Harst \ and\ author M. Reuter ,\ 10.1007/JHEP05(2011)119 journal journal JHEP \ volume 05 ,\ pages 119 ( year 2011 ) ,\ http://arxiv.org/abs/1101.6007 arXiv:1101.6007 [hep-th] NoStop

    2011 arXiv

  12. [20]

    Folkerts , author D

    author author S. Folkerts , author D. F. \ Litim , \ and\ author J. M. \ Pawlowski ,\ 10.1016/j.physletb.2012.02.002 journal journal Phys. Lett. B \ volume 709 ,\ pages 234 ( year 2012 ) ,\ http://arxiv.org/abs/1101.5552 arXiv:1101.5552 [hep-th] NoStop

    2012 arXiv

  13. [21]

    Christiansen \ and\ author A

    author author N. Christiansen \ and\ author A. Eichhorn ,\ 10.1016/j.physletb.2017.04.047 journal journal Phys. Lett. B \ volume 770 ,\ pages 154 ( year 2017 ) ,\ http://arxiv.org/abs/1702.07724 arXiv:1702.07724 [hep-th] NoStop

    2017 arXiv

  14. [22]

    Eichhorn \ and\ author F

    author author A. Eichhorn \ and\ author F. Versteegen ,\ 10.1007/JHEP01(2018)030 journal journal JHEP \ volume 01 ,\ pages 030 ( year 2018 ) ,\ http://arxiv.org/abs/1709.07252 arXiv:1709.07252 [hep-th] NoStop

    2018 arXiv

  15. [23]

    Christiansen , author D

    author author N. Christiansen , author D. F. \ Litim , author J. M. \ Pawlowski , \ and\ author M. Reichert ,\ 10.1103/PhysRevD.97.106012 journal journal Phys. Rev. D \ volume 97 ,\ pages 106012 ( year 2018 a ) ,\ http://arxiv.org/abs/1710.04669 arXiv:1710.04669 [hep-th] NoStop

    2018 arXiv

  16. [24]

    Eichhorn \ and\ author M

    author author A. Eichhorn \ and\ author M. Schiffer ,\ 10.1016/j.physletb.2019.05.005 journal journal Phys. Lett. B \ volume 793 ,\ pages 383 ( year 2019 ) ,\ http://arxiv.org/abs/1902.06479 arXiv:1902.06479 [hep-th] NoStop

    2019 arXiv

  17. [25]

    Reuter ,\ 10.1103/PhysRevD.57.971 journal journal Phys

    author author M. Reuter ,\ 10.1103/PhysRevD.57.971 journal journal Phys. Rev. D \ volume 57 ,\ pages 971 ( year 1998 ) ,\ http://arxiv.org/abs/hep-th/9605030 arXiv:hep-th/9605030 NoStop

    1998 arXiv

  18. [26]

    Souma ,\ 10.1143/PTP.102.181 journal journal Prog

    author author W. Souma ,\ 10.1143/PTP.102.181 journal journal Prog. Theor. Phys. \ volume 102 ,\ pages 181 ( year 1999 ) ,\ http://arxiv.org/abs/hep-th/9907027 arXiv:hep-th/9907027 NoStop

    1999 arXiv

  19. [27]

    Lauscher \ and\ author M

    author author O. Lauscher \ and\ author M. Reuter ,\ 10.1103/PhysRevD.65.025013 journal journal Phys. Rev. D \ volume 65 ,\ pages 025013 ( year 2002 a ) ,\ http://arxiv.org/abs/hep-th/0108040 arXiv:hep-th/0108040 NoStop

    2002 arXiv

  20. [28]

    Reuter \ and\ author F

    author author M. Reuter \ and\ author F. Saueressig ,\ 10.1103/PhysRevD.65.065016 journal journal Phys. Rev. D \ volume 65 ,\ pages 065016 ( year 2002 ) ,\ http://arxiv.org/abs/hep-th/0110054 arXiv:hep-th/0110054 NoStop

    2002 arXiv

  21. [29]

    Lauscher \ and\ author M

    author author O. Lauscher \ and\ author M. Reuter ,\ 10.1103/PhysRevD.66.025026 journal journal Phys. Rev. D \ volume 66 ,\ pages 025026 ( year 2002 b ) ,\ http://arxiv.org/abs/hep-th/0205062 arXiv:hep-th/0205062 NoStop

    2002 arXiv

  22. [30]

    author author D. F. \ Litim ,\ 10.1103/PhysRevLett.92.201301 journal journal Phys. Rev. Lett. \ volume 92 ,\ pages 201301 ( year 2004 ) ,\ http://arxiv.org/abs/hep-th/0312114 arXiv:hep-th/0312114 NoStop

    2004 arXiv

  23. [31]

    Codello \ and\ author R

    author author A. Codello \ and\ author R. Percacci ,\ 10.1103/PhysRevLett.97.221301 journal journal Phys. Rev. Lett. \ volume 97 ,\ pages 221301 ( year 2006 ) ,\ http://arxiv.org/abs/hep-th/0607128 arXiv:hep-th/0607128 NoStop

    2006 arXiv

  24. [32]

    author author P. F. \ Machado \ and\ author F. Saueressig ,\ 10.1103/PhysRevD.77.124045 journal journal Phys. Rev. D \ volume 77 ,\ pages 124045 ( year 2008 ) ,\ http://arxiv.org/abs/0712.0445 arXiv:0712.0445 [hep-th] NoStop

    2008 arXiv

  25. [33]

    Codello , author R

    author author A. Codello , author R. Percacci , \ and\ author C. Rahmede ,\ 10.1016/j.aop.2008.08.008 journal journal Annals Phys. \ volume 324 ,\ pages 414 ( year 2009 ) ,\ http://arxiv.org/abs/0805.2909 arXiv:0805.2909 [hep-th] NoStop

    2008 arXiv

  26. [34]

    Benedetti , author P

    author author D. Benedetti , author P. F. \ Machado , \ and\ author F. Saueressig ,\ 10.1142/S0217732309031521 journal journal Mod. Phys. Lett. A \ volume 24 ,\ pages 2233 ( year 2009 ) ,\ http://arxiv.org/abs/0901.2984 arXiv:0901.2984 [hep-th] NoStop

    2009 arXiv

  27. [35]

    Eichhorn , author H

    author author A. Eichhorn , author H. Gies , \ and\ author M. M. \ Scherer ,\ 10.1103/PhysRevD.80.104003 journal journal Phys. Rev. D \ volume 80 ,\ pages 104003 ( year 2009 ) ,\ http://arxiv.org/abs/0907.1828 arXiv:0907.1828 [hep-th] NoStop

    2009 arXiv

  28. [36]

    Manrique , author M

    author author E. Manrique , author M. Reuter , \ and\ author F. Saueressig ,\ 10.1016/j.aop.2010.11.006 journal journal Annals Phys. \ volume 326 ,\ pages 463 ( year 2011 ) ,\ http://arxiv.org/abs/1006.0099 arXiv:1006.0099 [hep-th] NoStop

    2010 arXiv

  29. [37]

    Eichhorn \ and\ author H

    author author A. Eichhorn \ and\ author H. Gies ,\ 10.1103/PhysRevD.81.104010 journal journal Phys. Rev. D \ volume 81 ,\ pages 104010 ( year 2010 ) ,\ http://arxiv.org/abs/1001.5033 arXiv:1001.5033 [hep-th] NoStop

    2010 arXiv

  30. [38]

    Groh \ and\ author F

    author author K. Groh \ and\ author F. Saueressig ,\ 10.1088/1751-8113/43/36/365403 journal journal J. Phys. A \ volume 43 ,\ pages 365403 ( year 2010 ) ,\ http://arxiv.org/abs/1001.5032 arXiv:1001.5032 [hep-th] NoStop

    2010 arXiv

  31. [39]

    author author J. A. \ Dietz \ and\ author T. R. \ Morris ,\ 10.1007/JHEP01(2013)108 journal journal JHEP \ volume 01 ,\ pages 108 ( year 2013 ) ,\ http://arxiv.org/abs/1211.0955 arXiv:1211.0955 [hep-th] NoStop

    2013 arXiv

  32. [40]

    Christiansen , author D

    author author N. Christiansen , author D. F. \ Litim , author J. M. \ Pawlowski , \ and\ author A. Rodigast ,\ 10.1016/j.physletb.2013.11.025 journal journal Phys. Lett. B \ volume 728 ,\ pages 114 ( year 2014 ) ,\ http://arxiv.org/abs/1209.4038 arXiv:1209.4038 [hep-th] NoStop

    2013 arXiv

  33. [41]

    Rechenberger \ and\ author F

    author author S. Rechenberger \ and\ author F. Saueressig ,\ 10.1103/PhysRevD.86.024018 journal journal Phys. Rev. D \ volume 86 ,\ pages 024018 ( year 2012 ) ,\ http://arxiv.org/abs/1206.0657 arXiv:1206.0657 [hep-th] NoStop

    2012 arXiv

  34. [42]

    Falls , author D

    author author K. Falls , author D. F. \ Litim , author K. Nikolakopoulos , \ and\ author C. Rahmede ,\ @noop \ ( year 2013 ) ,\ http://arxiv.org/abs/1301.4191 arXiv:1301.4191 [hep-th] NoStop

    2013 arXiv

  35. [43]

    Ohta \ and\ author R

    author author N. Ohta \ and\ author R. Percacci ,\ 10.1088/0264-9381/31/1/015024 journal journal Class. Quant. Grav. \ volume 31 ,\ pages 015024 ( year 2014 ) ,\ http://arxiv.org/abs/1308.3398 arXiv:1308.3398 [hep-th] NoStop

    2014 arXiv

  36. [44]

    Eichhorn ,\ 10.1088/0264-9381/30/11/115016 journal journal Class

    author author A. Eichhorn ,\ 10.1088/0264-9381/30/11/115016 journal journal Class. Quant. Grav. \ volume 30 ,\ pages 115016 ( year 2013 ) ,\ http://arxiv.org/abs/1301.0879 arXiv:1301.0879 [gr-qc] NoStop

    2013 arXiv

  37. [45]

    Falls , author D

    author author K. Falls , author D. F. \ Litim , author K. Nikolakopoulos , \ and\ author C. Rahmede ,\ 10.1103/PhysRevD.93.104022 journal journal Phys. Rev. D \ volume 93 ,\ pages 104022 ( year 2016 ) ,\ http://arxiv.org/abs/1410.4815 arXiv:1410.4815 [hep-th] NoStop

    2016 arXiv

  38. [46]

    Codello , author G

    author author A. Codello , author G. D'Odorico , \ and\ author C. Pagani ,\ 10.1103/PhysRevD.89.081701 journal journal Phys. Rev. D \ volume 89 ,\ pages 081701 ( year 2014 ) ,\ http://arxiv.org/abs/1304.4777 arXiv:1304.4777 [gr-qc] NoStop

    2014 arXiv

  39. [47]

    Christiansen , author B

    author author N. Christiansen , author B. Knorr , author J. M. \ Pawlowski , \ and\ author A. Rodigast ,\ 10.1103/PhysRevD.93.044036 journal journal Phys. Rev. D \ volume 93 ,\ pages 044036 ( year 2016 ) ,\ http://arxiv.org/abs/1403.1232 arXiv:1403.1232 [hep-th] NoStop

    2016 arXiv

  40. [48]

    Demmel , author F

    author author M. Demmel , author F. Saueressig , \ and\ author O. Zanusso ,\ 10.1007/JHEP08(2015)113 journal journal JHEP \ volume 08 ,\ pages 113 ( year 2015 ) ,\ http://arxiv.org/abs/1504.07656 arXiv:1504.07656 [hep-th] NoStop

    2015 arXiv

  41. [49]

    Gies , author B

    author author H. Gies , author B. Knorr , \ and\ author S. Lippoldt ,\ 10.1103/PhysRevD.92.084020 journal journal Phys. Rev. D \ volume 92 ,\ pages 084020 ( year 2015 ) ,\ http://arxiv.org/abs/1507.08859 arXiv:1507.08859 [hep-th] NoStop

    2015 arXiv

  42. [50]

    Christiansen , author B

    author author N. Christiansen , author B. Knorr , author J. Meibohm , author J. M. \ Pawlowski , \ and\ author M. Reichert ,\ 10.1103/PhysRevD.92.121501 journal journal Phys. Rev. D \ volume 92 ,\ pages 121501 ( year 2015 ) ,\ http://arxiv.org/abs/1506.07016 arXiv:1506.07016 [...

    2015 arXiv

  43. [51]

    Ohta , author R

    author author N. Ohta , author R. Percacci , \ and\ author G. P. \ Vacca ,\ 10.1140/epjc/s10052-016-3895-1 journal journal Eur. Phys. J. C \ volume 76 ,\ pages 46 ( year 2016 ) ,\ http://arxiv.org/abs/1511.09393 arXiv:1511.09393 [hep-th] NoStop

    2016 arXiv

  44. [52]

    Ohta , author R

    author author N. Ohta , author R. Percacci , \ and\ author G. P. \ Vacca ,\ 10.1103/PhysRevD.92.061501 journal journal Phys. Rev. D \ volume 92 ,\ pages 061501 ( year 2015 ) ,\ http://arxiv.org/abs/1507.00968 arXiv:1507.00968 [hep-th] NoStop

    2015 arXiv

  45. [53]

    Falls ,\ 10.1103/PhysRevD.92.124057 journal journal Phys

    author author K. Falls ,\ 10.1103/PhysRevD.92.124057 journal journal Phys. Rev. D \ volume 92 ,\ pages 124057 ( year 2015 ) ,\ http://arxiv.org/abs/1501.05331 arXiv:1501.05331 [hep-th] NoStop

    2015 arXiv

  46. [54]

    Eichhorn ,\ 10.1007/JHEP04(2015)096 journal journal JHEP \ volume 04 ,\ pages 096 ( year 2015 ) ,\ http://arxiv.org/abs/1501.05848 arXiv:1501.05848 [gr-qc] NoStop

    author author A. Eichhorn ,\ 10.1007/JHEP04(2015)096 journal journal JHEP \ volume 04 ,\ pages 096 ( year 2015 ) ,\ http://arxiv.org/abs/1501.05848 arXiv:1501.05848 [gr-qc] NoStop

    2015 arXiv

  47. [55]

    Gies , author B

    author author H. Gies , author B. Knorr , author S. Lippoldt , \ and\ author F. Saueressig ,\ 10.1103/PhysRevLett.116.211302 journal journal Phys. Rev. Lett. \ volume 116 ,\ pages 211302 ( year 2016 ) ,\ http://arxiv.org/abs/1601.01800 arXiv:1601.01800 [hep-th] NoStop

    2016 arXiv

  48. [56]

    Denz , author J

    author author T. Denz , author J. M. \ Pawlowski , \ and\ author M. Reichert ,\ 10.1140/epjc/s10052-018-5806-0 journal journal Eur. Phys. J. C \ volume 78 ,\ pages 336 ( year 2018 ) ,\ http://arxiv.org/abs/1612.07315 arXiv:1612.07315 [hep-th] NoStop

    2018 arXiv

  49. [57]

    Biemans , author A

    author author J. Biemans , author A. Platania , \ and\ author F. Saueressig ,\ 10.1103/PhysRevD.95.086013 journal journal Phys. Rev. D \ volume 95 ,\ pages 086013 ( year 2017 a ) ,\ http://arxiv.org/abs/1609.04813 arXiv:1609.04813 [hep-th] NoStop

    2017 arXiv

  50. [58]

    Falls \ and\ author N

    author author K. Falls \ and\ author N. Ohta ,\ 10.1103/PhysRevD.94.084005 journal journal Phys. Rev. D \ volume 94 ,\ pages 084005 ( year 2016 ) ,\ http://arxiv.org/abs/1607.08460 arXiv:1607.08460 [hep-th] NoStop

    2016 arXiv

  51. [59]

    Falls , author D

    author author K. Falls , author D. F. \ Litim , author K. Nikolakopoulos , \ and\ author C. Rahmede ,\ 10.1088/1361-6382/aac440 journal journal Class. Quant. Grav. \ volume 35 ,\ pages 135006 ( year 2018 a ) ,\ http://arxiv.org/abs/1607.04962 arXiv:1607.04962 [gr-qc] NoStop

    2018 arXiv

  52. [60]

    author author S. P. \ de Alwis ,\ 10.1007/JHEP03(2018)118 journal journal JHEP \ volume 03 ,\ pages 118 ( year 2018 ) ,\ http://arxiv.org/abs/1707.09298 arXiv:1707.09298 [hep-th] NoStop

    2018 arXiv

  53. [61]

    Christiansen , author K

    author author N. Christiansen , author K. Falls , author J. M. \ Pawlowski , \ and\ author M. Reichert ,\ 10.1103/PhysRevD.97.046007 journal journal Phys. Rev. D \ volume 97 ,\ pages 046007 ( year 2018 b ) ,\ http://arxiv.org/abs/1711.09259 arXiv:1711.09259 [hep-th] NoStop

    2018 arXiv

  54. [62]

    Falls , author C

    author author K. Falls , author C. R. \ King , author D. F. \ Litim , author K. Nikolakopoulos , \ and\ author C. Rahmede ,\ 10.1103/PhysRevD.97.086006 journal journal Phys. Rev. D \ volume 97 ,\ pages 086006 ( year 2018 b ) ,\ http://arxiv.org/abs/1801.00162 arXiv:1801.00162 ...

    2018 arXiv

  55. [63]

    author author W. B. \ Houthoff , author A. Kurov , \ and\ author F. Saueressig ,\ 10.1140/epjc/s10052-017-5046-8 journal journal Eur. Phys. J. C \ volume 77 ,\ pages 491 ( year 2017 ) ,\ http://arxiv.org/abs/1705.01848 arXiv:1705.01848 [hep-th] NoStop

    2017 arXiv

  56. [64]

    Falls ,\ 10.1103/PhysRevD.96.126016 journal journal Phys

    author author K. Falls ,\ 10.1103/PhysRevD.96.126016 journal journal Phys. Rev. D \ volume 96 ,\ pages 126016 ( year 2017 ) ,\ http://arxiv.org/abs/1702.03577 arXiv:1702.03577 [hep-th] NoStop

    2017 arXiv

  57. [65]

    Becker , author C

    author author D. Becker , author C. Ripken , \ and\ author F. Saueressig ,\ 10.1007/JHEP12(2017)121 journal journal JHEP \ volume 12 ,\ pages 121 ( year 2017 ) ,\ http://arxiv.org/abs/1709.09098 arXiv:1709.09098 [hep-th] NoStop

    2017 arXiv

  58. [66]

    Knorr \ and\ author S

    author author B. Knorr \ and\ author S. Lippoldt ,\ 10.1103/PhysRevD.96.065020 journal journal Phys. Rev. D \ volume 96 ,\ pages 065020 ( year 2017 ) ,\ http://arxiv.org/abs/1707.01397 arXiv:1707.01397 [hep-th] NoStop

    2017 arXiv

  59. [67]

    Knorr ,\ 10.1088/1361-6382/aabaa0 journal journal Class

    author author B. Knorr ,\ 10.1088/1361-6382/aabaa0 journal journal Class. Quant. Grav. \ volume 35 ,\ pages 115005 ( year 2018 ) ,\ http://arxiv.org/abs/1710.07055 arXiv:1710.07055 [hep-th] NoStop

    2018 arXiv

  60. [68]

    author author G. P. \ De Brito , author N. Ohta , author A. D. \ Pereira , author A. A. \ Tomaz , \ and\ author M. Yamada ,\ 10.1103/PhysRevD.98.026027 journal journal Phys. Rev. D \ volume 98 ,\ pages 026027 ( year 2018 ) ,\ http://arxiv.org/abs/1805.09656 arXiv:1805.09656 [h...

    2018 arXiv

  61. [69]

    Eichhorn , author S

    author author A. Eichhorn , author S. Lippoldt , author J. M. \ Pawlowski , author M. Reichert , \ and\ author M. Schiffer ,\ 10.1016/j.physletb.2019.01.071 journal journal Phys. Lett. B \ volume 792 ,\ pages 310 ( year 2019 a ) ,\ http://arxiv.org/abs/1810.02828 arXiv:1810.02...

    2019 arXiv

  62. [70]

    author author K. G. \ Falls , author D. F. \ Litim , \ and\ author J. Schr \"o der ,\ 10.1103/PhysRevD.99.126015 journal journal Phys. Rev. D \ volume 99 ,\ pages 126015 ( year 2019 ) ,\ http://arxiv.org/abs/1810.08550 arXiv:1810.08550 [gr-qc] NoStop

    2019 arXiv

  63. [71]

    Bosma , author B

    author author L. Bosma , author B. Knorr , \ and\ author F. Saueressig ,\ 10.1103/PhysRevLett.123.101301 journal journal Phys. Rev. Lett. \ volume 123 ,\ pages 101301 ( year 2019 ) ,\ http://arxiv.org/abs/1904.04845 arXiv:1904.04845 [hep-th] NoStop

    2019 arXiv

  64. [72]

    Knorr , author C

    author author B. Knorr , author C. Ripken , \ and\ author F. Saueressig ,\ 10.1088/1361-6382/ab4a53 journal journal Class. Quant. Grav. \ volume 36 ,\ pages 234001 ( year 2019 ) ,\ http://arxiv.org/abs/1907.02903 arXiv:1907.02903 [hep-th] NoStop

    2019 arXiv

  65. [73]

    Falls , author N

    author author K. Falls , author N. Ohta , \ and\ author R. Percacci ,\ 10.1016/j.physletb.2020.135773 journal journal Phys. Lett. B \ volume 810 ,\ pages 135773 ( year 2020 ) ,\ http://arxiv.org/abs/2004.04126 arXiv:2004.04126 [hep-th] NoStop

    2020

  66. [74]

    Kluth \ and\ author D

    author author Y. Kluth \ and\ author D. F. \ Litim ,\ 10.1103/PhysRevD.108.026005 journal journal Phys. Rev. D \ volume 108 ,\ pages 026005 ( year 2023 ) ,\ http://arxiv.org/abs/2008.09181 arXiv:2008.09181 [hep-th] NoStop

    2023 arXiv

  67. [75]

    Knorr ,\ 10.21468/SciPostPhysCore.4.3.020 journal journal SciPost Phys

    author author B. Knorr ,\ 10.21468/SciPostPhysCore.4.3.020 journal journal SciPost Phys. Core \ volume 4 ,\ pages 020 ( year 2021 ) ,\ http://arxiv.org/abs/2104.11336 arXiv:2104.11336 [hep-th] NoStop

    2021 arXiv

  68. [76]

    Bonanno , author T

    author author A. Bonanno , author T. Denz , author J. M. \ Pawlowski , \ and\ author M. Reichert ,\ 10.21468/SciPostPhys.12.1.001 journal journal SciPost Phys. \ volume 12 ,\ pages 001 ( year 2022 ) ,\ http://arxiv.org/abs/2102.02217 arXiv:2102.02217 [hep-th] NoStop

    2022 arXiv

  69. [77]

    Baldazzi \ and\ author K

    author author A. Baldazzi \ and\ author K. Falls ,\ 10.3390/universe7080294 journal journal Universe \ volume 7 ,\ pages 294 ( year 2021 ) ,\ http://arxiv.org/abs/2107.00671 arXiv:2107.00671 [hep-th] NoStop

    2021 arXiv

  70. [78]

    Sen , author C

    author author S. Sen , author C. Wetterich , \ and\ author M. Yamada ,\ 10.1007/JHEP03(2022)130 journal journal JHEP \ volume 03 ,\ pages 130 ( year 2022 ) ,\ http://arxiv.org/abs/2111.04696 arXiv:2111.04696 [hep-th] NoStop

    2022 arXiv

  71. [79]

    Mitchell , author T

    author author A. Mitchell , author T. R. \ Morris , \ and\ author D. Stulga ,\ 10.1007/JHEP01(2022)041 journal journal JHEP \ volume 01 ,\ pages 041 ( year 2022 ) ,\ http://arxiv.org/abs/2111.05067 arXiv:2111.05067 [hep-th] NoStop

    2022 arXiv

  72. [80]

    Knorr , author C

    author author B. Knorr , author C. Ripken , \ and\ author F. Saueressig ,\ 10.1393/ncc/i2022-22028-5 journal journal Nuovo Cim. C \ volume 45 ,\ pages 28 ( year 2022 ) ,\ http://arxiv.org/abs/2111.12365 arXiv:2111.12365 [hep-th] NoStop

    2022 arXiv

  73. [81]

    Baldazzi , author K

    author author A. Baldazzi , author K. Falls , \ and\ author R. Ferrero ,\ 10.1016/j.aop.2022.168822 journal journal Annals Phys. \ volume 440 ,\ pages 168822 ( year 2022 ) ,\ http://arxiv.org/abs/2112.02118 arXiv:2112.02118 [hep-th] NoStop

    2022

  74. [82]

    Fehre , author D

    author author J. Fehre , author D. F. \ Litim , author J. M. \ Pawlowski , \ and\ author M. Reichert ,\ 10.1103/PhysRevLett.130.081501 journal journal Phys. Rev. Lett. \ volume 130 ,\ pages 081501 ( year 2023 ) ,\ http://arxiv.org/abs/2111.13232 arXiv:2111.13232 [hep-th] NoStop

    2023 arXiv

  75. [83]

    Baldazzi , author K

    author author A. Baldazzi , author K. Falls , author Y. Kluth , \ and\ author B. Knorr ,\ @noop \ ( year 2023 ) ,\ http://arxiv.org/abs/2312.03831 arXiv:2312.03831 [hep-th] NoStop

    2023 arXiv

  76. [84]

    Saueressig \ and\ author J

    author author F. Saueressig \ and\ author J. Wang ,\ 10.1007/JHEP09(2023)064 journal journal JHEP \ volume 09 ,\ pages 064 ( year 2023 ) ,\ http://arxiv.org/abs/2306.10408 arXiv:2306.10408 [hep-th] NoStop

    2023 arXiv

  77. [85]

    Kawai \ and\ author N

    author author H. Kawai \ and\ author N. Ohta ,\ 10.1103/PhysRevD.107.126025 journal journal Phys. Rev. D \ volume 107 ,\ pages 126025 ( year 2023 ) ,\ http://arxiv.org/abs/2305.10591 arXiv:2305.10591 [hep-th] NoStop

    2023 arXiv

  78. [86]

    Eichhorn ,\ 10.1007/s10701-018-0196-6 journal journal Found

    author author A. Eichhorn ,\ 10.1007/s10701-018-0196-6 journal journal Found. Phys. \ volume 48 ,\ pages 1407 ( year 2018 ) ,\ http://arxiv.org/abs/1709.03696 arXiv:1709.03696 [gr-qc] NoStop

    2018 arXiv

  79. [87]

    Percacci ,\ 10.1142/10369 title An Introduction to Covariant Quantum Gravity and Asymptotic Safety ,\ series 100 Years of General Relativity , Vol

    author author R. Percacci ,\ 10.1142/10369 title An Introduction to Covariant Quantum Gravity and Asymptotic Safety ,\ series 100 Years of General Relativity , Vol. volume 3 \ ( publisher World Scientific ,\ year 2017 ) NoStop

    2017 doi

  80. [88]

    Reuter \ and\ author F

    author author M. Reuter \ and\ author F. Saueressig ,\ @noop title Quantum Gravity and the Functional Renormalization Group : The Road towards Asymptotic Safety \ ( publisher Cambridge University Press ,\ year 2019 ) NoStop

    2019

  81. [89]

    author author A. D. \ Pereira ,\ in\ @noop booktitle Progress and Visions in Quantum Theory in View of Gravity : Bridging foundations of physics and mathematics \ ( year 2019 )\ http://arxiv.org/abs/1904.07042 arXiv:1904.07042 [gr-qc] NoStop

    2019 arXiv

  82. [90]

    Reichert ,\ 10.22323/1.384.0005 journal journal PoS \ volume 384 ,\ pages 005 ( year 2020 ) NoStop

    author author M. Reichert ,\ 10.22323/1.384.0005 journal journal PoS \ volume 384 ,\ pages 005 ( year 2020 ) NoStop

    2020 doi

  83. [91]

    author author J. M. \ Pawlowski \ and\ author M. Reichert ,\ 10.3389/fphy.2020.551848 journal journal Front. in Phys. \ volume 8 ,\ pages 551848 ( year 2021 ) ,\ http://arxiv.org/abs/2007.10353 arXiv:2007.10353 [hep-th] NoStop

    2020

  84. [92]

    Eichhorn ,\ 10.1393/ncc/i2022-22029-4 journal journal Nuovo Cim

    author author A. Eichhorn ,\ 10.1393/ncc/i2022-22029-4 journal journal Nuovo Cim. C \ volume 45 ,\ pages 29 ( year 2022 ) ,\ http://arxiv.org/abs/2201.11543 arXiv:2201.11543 [gr-qc] NoStop

    2022 arXiv

  85. [93]

    Eichhorn \ and\ author M

    author author A. Eichhorn \ and\ author M. Schiffer ,\ @noop \ ( year 2022 ) ,\ http://arxiv.org/abs/2212.07456 arXiv:2212.07456 [hep-th] NoStop

    2022 arXiv

  86. [94]

    Saueressig ,\ title The Functional Renormalization Group in Quantum Gravity , \ \ ( year 2023 )\ http://arxiv.org/abs/2302.14152 arXiv:2302.14152 [hep-th] NoStop

    author author F. Saueressig ,\ title The Functional Renormalization Group in Quantum Gravity , \ \ ( year 2023 )\ http://arxiv.org/abs/2302.14152 arXiv:2302.14152 [hep-th] NoStop

    2023 arXiv

  87. [95]

    author author J. M. \ Pawlowski \ and\ author M. Reichert ,\ title Quantum Gravity from Dynamical Metric Fluctuations , \ \ ( year 2024 )\ http://arxiv.org/abs/2309.10785 arXiv:2309.10785 [hep-th] NoStop

    2024 arXiv

  88. [96]

    D'Angelo ,\ 10.1103/PhysRevD.109.066012 journal journal Phys

    author author E. D'Angelo ,\ 10.1103/PhysRevD.109.066012 journal journal Phys. Rev. D \ volume 109 ,\ pages 066012 ( year 2024 ) ,\ http://arxiv.org/abs/2310.20603 arXiv:2310.20603 [hep-th] NoStop

    2024 arXiv

  89. [97]

    Saueressig \ and\ author J

    author author F. Saueressig \ and\ author J. Wang ,\ 10.1103/PhysRevD.111.106007 journal journal Phys. Rev. D \ volume 111 ,\ pages 106007 ( year 2025 ) ,\ http://arxiv.org/abs/2501.03752 arXiv:2501.03752 [hep-th] NoStop

    2025 arXiv

  90. [98]

    Platania \ and\ author C

    author author A. Platania \ and\ author C. Wetterich ,\ 10.1016/j.physletb.2020.135911 journal journal Phys. Lett. B \ volume 811 ,\ pages 135911 ( year 2020 ) ,\ http://arxiv.org/abs/2009.06637 arXiv:2009.06637 [hep-th] NoStop

    2020

  91. [99]

    Knorr \ and\ author M

    author author B. Knorr \ and\ author M. Schiffer ,\ 10.3390/universe7070216 journal journal Universe \ volume 7 ,\ pages 216 ( year 2021 ) ,\ http://arxiv.org/abs/2105.04566 arXiv:2105.04566 [hep-th] NoStop

    2021 arXiv

  92. [100]

    Platania ,\ 10.1007/JHEP09(2022)167 journal journal JHEP \ volume 09 ,\ pages 167 ( year 2022 ) ,\ http://arxiv.org/abs/2206.04072 arXiv:2206.04072 [hep-th] NoStop

    author author A. Platania ,\ 10.1007/JHEP09(2022)167 journal journal JHEP \ volume 09 ,\ pages 167 ( year 2022 ) ,\ http://arxiv.org/abs/2206.04072 arXiv:2206.04072 [hep-th] NoStop

    2022 arXiv

  93. [101]

    Pastor-Guti \'e rrez , author J

    author author \'A . Pastor-Guti \'e rrez , author J. M. \ Pawlowski , author M. Reichert , \ and\ author G. Ruisi ,\ 10.1103/PhysRevD.111.106005 journal journal Phys. Rev. D \ volume 111 ,\ pages 106005 ( year 2025 ) ,\ http://arxiv.org/abs/2412.13800 arXiv:2412.13800 [hep-ph] NoStop

    2025 arXiv

  94. [102]

    author author J. F. \ Donoghue ,\ 10.3389/fphy.2020.00056 journal journal Front. in Phys. \ volume 8 ,\ pages 56 ( year 2020 ) ,\ http://arxiv.org/abs/1911.02967 arXiv:1911.02967 [hep-th] NoStop

    2020

  95. [103]

    Bonanno , author A

    author author A. Bonanno , author A. Eichhorn , author H. Gies , author J. M. \ Pawlowski , author R. Percacci , author M. Reuter , author F. Saueressig , \ and\ author G. P. \ Vacca ,\ 10.3389/fphy.2020.00269 journal journal Front. in Phys. \ volume 8 ,\ pages 269 ( year 2020...

    2020

  96. [104]

    Don \`a , author A

    author author P. Don \`a , author A. Eichhorn , \ and\ author R. Percacci ,\ 10.1103/PhysRevD.89.084035 journal journal Phys. Rev. D \ volume 89 ,\ pages 084035 ( year 2014 ) ,\ http://arxiv.org/abs/1311.2898 arXiv:1311.2898 [hep-th] NoStop

    2014 arXiv

  97. [105]

    Meibohm , author J

    author author J. Meibohm , author J. M. \ Pawlowski , \ and\ author M. Reichert ,\ 10.1103/PhysRevD.93.084035 journal journal Phys. Rev. D \ volume 93 ,\ pages 084035 ( year 2016 ) ,\ http://arxiv.org/abs/1510.07018 arXiv:1510.07018 [hep-th] NoStop

    2016 arXiv

  98. [106]

    Biemans , author A

    author author J. Biemans , author A. Platania , \ and\ author F. Saueressig ,\ 10.1007/JHEP05(2017)093 journal journal JHEP \ volume 05 ,\ pages 093 ( year 2017 b ) ,\ http://arxiv.org/abs/1702.06539 arXiv:1702.06539 [hep-th] NoStop

    2017 arXiv

  99. [107]

    Alkofer \ and\ author F

    author author N. Alkofer \ and\ author F. Saueressig ,\ 10.1016/j.aop.2018.07.017 journal journal Annals Phys. \ volume 396 ,\ pages 173 ( year 2018 ) ,\ http://arxiv.org/abs/1802.00498 arXiv:1802.00498 [hep-th] NoStop

    2018 arXiv

  100. [108]

    Wetterich \ and\ author M

    author author C. Wetterich \ and\ author M. Yamada ,\ 10.1103/PhysRevD.100.066017 journal journal Phys. Rev. D \ volume 100 ,\ pages 066017 ( year 2019 ) ,\ http://arxiv.org/abs/1906.01721 arXiv:1906.01721 [hep-th] NoStop

    2019 arXiv

  101. [109]

    Korver , author F

    author author G. Korver , author F. Saueressig , \ and\ author J. Wang ,\ 10.1016/j.physletb.2024.138789 journal journal Phys. Lett. B \ volume 855 ,\ pages 138789 ( year 2024 ) ,\ http://arxiv.org/abs/2402.01260 arXiv:2402.01260 [hep-th] NoStop

    2024

  102. [110]

    Eichhorn , author P

    author author A. Eichhorn , author P. Labus , author J. M. \ Pawlowski , \ and\ author M. Reichert ,\ 10.21468/SciPostPhys.5.4.031 journal journal SciPost Phys. \ volume 5 ,\ pages 031 ( year 2018 ) ,\ http://arxiv.org/abs/1804.00012 arXiv:1804.00012 [hep-th] NoStop

    2018 arXiv

  103. [111]

    Eichhorn , author S

    author author A. Eichhorn , author S. Lippoldt , \ and\ author M. Schiffer ,\ 10.1103/PhysRevD.99.086002 journal journal Phys. Rev. D \ volume 99 ,\ pages 086002 ( year 2019 b ) ,\ http://arxiv.org/abs/1812.08782 arXiv:1812.08782 [hep-th] NoStop

    2019 arXiv

  104. [112]

    Shaposhnikov \ and\ author C

    author author M. Shaposhnikov \ and\ author C. Wetterich ,\ 10.1016/j.physletb.2009.12.022 journal journal Phys. Lett. B \ volume 683 ,\ pages 196 ( year 2010 ) ,\ http://arxiv.org/abs/0912.0208 arXiv:0912.0208 [hep-th] NoStop

    2009 arXiv

  105. [113]

    Eichhorn \ and\ author A

    author author A. Eichhorn \ and\ author A. Held ,\ 10.1016/j.physletb.2017.12.040 journal journal Phys. Lett. B \ volume 777 ,\ pages 217 ( year 2018 a ) ,\ http://arxiv.org/abs/1707.01107 arXiv:1707.01107 [hep-th] NoStop

    2017 arXiv

  106. [114]

    Eichhorn \ and\ author A

    author author A. Eichhorn \ and\ author A. Held ,\ 10.1103/PhysRevLett.121.151302 journal journal Phys. Rev. Lett. \ volume 121 ,\ pages 151302 ( year 2018 b ) ,\ http://arxiv.org/abs/1803.04027 arXiv:1803.04027 [hep-th] NoStop

    2018 arXiv

  107. [115]

    Alkofer , author A

    author author R. Alkofer , author A. Eichhorn , author A. Held , author C. M. \ Nieto , author R. Percacci , \ and\ author M. Schr \"o fl ,\ 10.1016/j.aop.2020.168282 journal journal Annals Phys. \ volume 421 ,\ pages 168282 ( year 2020 ) ,\ http://arxiv.org/abs/2003.08401 arX...

    2020

  108. [116]

    Kowalska , author S

    author author K. Kowalska , author S. Pramanick , \ and\ author E. M. \ Sessolo ,\ 10.1007/JHEP08(2022)262 journal journal JHEP \ volume 08 ,\ pages 262 ( year 2022 ) ,\ http://arxiv.org/abs/2204.00866 arXiv:2204.00866 [hep-ph] NoStop

    2022 arXiv

  109. [117]

    Pastor-Guti \'e rrez , author J

    author author \'A . Pastor-Guti \'e rrez , author J. M. \ Pawlowski , \ and\ author M. Reichert ,\ 10.21468/SciPostPhys.15.3.105 journal journal SciPost Phys. \ volume 15 ,\ pages 105 ( year 2023 ) ,\ http://arxiv.org/abs/2207.09817 arXiv:2207.09817 [hep-th] NoStop

    2023 arXiv

  110. [118]

    Canet , author B

    author author L. Canet , author B. Delamotte , author D. Mouhanna , \ and\ author J. Vidal ,\ 10.1103/PhysRevD.67.065004 journal journal Phys. Rev. D \ volume 67 ,\ pages 065004 ( year 2003 a ) ,\ http://arxiv.org/abs/hep-th/0211055 arXiv:hep-th/0211055 NoStop

    2003 arXiv

  111. [119]

    Canet , author B

    author author L. Canet , author B. Delamotte , author D. Mouhanna , \ and\ author J. Vidal ,\ 10.1103/PhysRevB.68.064421 journal journal Phys. Rev. B \ volume 68 ,\ pages 064421 ( year 2003 b ) ,\ http://arxiv.org/abs/hep-th/0302227 arXiv:hep-th/0302227 NoStop

    2003 arXiv

  112. [120]

    Duclut \ and\ author B

    author author C. Duclut \ and\ author B. Delamotte ,\ 10.1103/PhysRevE.95.012107 journal journal Phys. Rev. E \ volume 95 ,\ pages 012107 ( year 2017 ) ,\ http://arxiv.org/abs/1611.07301 arXiv:1611.07301 [cond-mat.stat-mech] NoStop

    2017 arXiv

  113. [121]

    Balog , author H

    author author I. Balog , author H. Chat \'e , author B. Delamotte , author M. Marohnic , \ and\ author N. Wschebor ,\ 10.1103/PhysRevLett.123.240604 journal journal Phys. Rev. Lett. \ volume 123 ,\ pages 240604 ( year 2019 ) ,\ http://arxiv.org/abs/1907.01829 arXiv:1907.01829 ...

    2019 arXiv

  114. [122]

    De Polsi , author I

    author author G. De Polsi , author I. Balog , author M. Tissier , \ and\ author N. Wschebor ,\ 10.1103/PhysRevE.101.042113 journal journal Phys. Rev. E \ volume 101 ,\ pages 042113 ( year 2020 ) ,\ http://arxiv.org/abs/2001.07525 arXiv:2001.07525 [cond-mat.stat-mech] NoStop

    2020 arXiv

  115. [123]

    De Polsi \ and\ author N

    author author G. De Polsi \ and\ author N. Wschebor ,\ 10.1103/PhysRevE.106.024111 journal journal Phys. Rev. E \ volume 106 ,\ pages 024111 ( year 2022 ) ,\ http://arxiv.org/abs/2204.09170 arXiv:2204.09170 [cond-mat.stat-mech] NoStop

    2022 arXiv

  116. [124]

    author author P. M. \ Stevenson ,\ 10.1142/12817 title Renormalized Perturbation Theory and its Optimization by the Principle of Minimal Sensitivity \ ( publisher World Scientific ,\ year 2022 ) NoStop

    2022 doi

  117. [125]

    author author D. F. \ Litim ,\ 10.1016/S0370-2693(00)00748-6 journal journal Phys. Lett. B \ volume 486 ,\ pages 92 ( year 2000 ) ,\ http://arxiv.org/abs/hep-th/0005245 arXiv:hep-th/0005245 NoStop

    2000 arXiv

  118. [126]

    author author D. F. \ Litim ,\ 10.1103/PhysRevD.64.105007 journal journal Phys. Rev. D \ volume 64 ,\ pages 105007 ( year 2001 ) ,\ http://arxiv.org/abs/hep-th/0103195 arXiv:hep-th/0103195 NoStop

    2001 arXiv

  119. [127]

    author author J. M. \ Pawlowski , author D. F. \ Litim , author S. Nedelko , \ and\ author L. von Smekal ,\ 10.1103/PhysRevLett.93.152002 journal journal Phys. Rev. Lett. \ volume 93 ,\ pages 152002 ( year 2004 ) ,\ http://arxiv.org/abs/hep-th/0312324 arXiv:hep-th/0312324 NoStop

    2004 arXiv

  120. [128]

    de Brito , author M

    author author G. de Brito , author M. Reichert , \ and\ author M. Schiffer ,\ @noop \ http://arxiv.org/abs/To appear To appear NoStop

  121. [129]

    author author S. P. \ Robinson \ and\ author F. Wilczek ,\ 10.1103/PhysRevLett.96.231601 journal journal Phys. Rev. Lett. \ volume 96 ,\ pages 231601 ( year 2006 ) ,\ http://arxiv.org/abs/hep-th/0509050 arXiv:hep-th/0509050 NoStop

    2006 arXiv

  122. [130]

    author author A. R. \ Pietrykowski ,\ 10.1103/PhysRevLett.98.061801 journal journal Phys. Rev. Lett. \ volume 98 ,\ pages 061801 ( year 2007 ) ,\ http://arxiv.org/abs/hep-th/0606208 arXiv:hep-th/0606208 NoStop

    2007 arXiv

  123. [131]

    author author D. J. \ Toms ,\ 10.1103/PhysRevD.76.045015 journal journal Phys. Rev. D \ volume 76 ,\ pages 045015 ( year 2007 ) ,\ http://arxiv.org/abs/0708.2990 arXiv:0708.2990 [hep-th] NoStop

    2007 arXiv

  124. [132]

    Ebert , author J

    author author D. Ebert , author J. Plefka , \ and\ author A. Rodigast ,\ 10.1016/j.physletb.2008.01.037 journal journal Phys. Lett. B \ volume 660 ,\ pages 579 ( year 2008 ) ,\ http://arxiv.org/abs/0710.1002 arXiv:0710.1002 [hep-th] NoStop

    2008 arXiv

  125. [133]

    author author D. J. \ Toms ,\ 10.1038/nature09506 journal journal Nature \ volume 468 ,\ pages 56 ( year 2010 ) ,\ http://arxiv.org/abs/1010.0793 arXiv:1010.0793 [hep-th] NoStop

    2010 arXiv

  126. [134]

    author author M. M. \ Anber , author J. F. \ Donoghue , \ and\ author M. El-Houssieny ,\ 10.1103/PhysRevD.83.124003 journal journal Phys. Rev. D \ volume 83 ,\ pages 124003 ( year 2011 ) ,\ http://arxiv.org/abs/1011.3229 arXiv:1011.3229 [hep-th] NoStop

    2011 arXiv

  127. [135]

    author author G. P. \ de Brito \ and\ author A. Eichhorn ,\ 10.1140/epjc/s10052-023-11172-z journal journal Eur. Phys. J. C \ volume 83 ,\ pages 161 ( year 2023 ) ,\ http://arxiv.org/abs/2201.11402 arXiv:2201.11402 [hep-th] NoStop

    2023 arXiv

  128. [136]

    Wetterich ,\ 10.1016/0370-2693(93)90726-X journal journal Phys

    author author C. Wetterich ,\ 10.1016/0370-2693(93)90726-X journal journal Phys. Lett. B \ volume 301 ,\ pages 90 ( year 1993 ) ,\ http://arxiv.org/abs/1710.05815 arXiv:1710.05815 [hep-th] NoStop

    1993 arXiv

  129. [137]

    Manrique \ and\ author M

    author author E. Manrique \ and\ author M. Reuter ,\ 10.22323/1.079.0001 journal journal PoS \ volume CLAQG08 ,\ pages 001 ( year 2011 ) ,\ http://arxiv.org/abs/0905.4220 arXiv:0905.4220 [hep-th] NoStop

    2011 arXiv

  130. [138]

    author author T. R. \ Morris \ and\ author Z. H. \ Slade ,\ 10.1007/JHEP11(2015)094 journal journal JHEP \ volume 11 ,\ pages 094 ( year 2015 ) ,\ http://arxiv.org/abs/1507.08657 arXiv:1507.08657 [hep-th] NoStop

    2015 arXiv

  131. [139]

    Fraaije , author A

    author author M. Fraaije , author A. Platania , \ and\ author F. Saueressig ,\ 10.1016/j.physletb.2022.137399 journal journal Phys. Lett. B \ volume 834 ,\ pages 137399 ( year 2022 ) ,\ http://arxiv.org/abs/2206.10626 arXiv:2206.10626 [hep-th] NoStop

    2022

  132. [140]

    author author T. R. \ Morris ,\ 10.1142/S0217751X94000972 journal journal Int. J. Mod. Phys. A \ volume 9 ,\ pages 2411 ( year 1994 ) ,\ http://arxiv.org/abs/hep-ph/9308265 arXiv:hep-ph/9308265 NoStop

    1994 arXiv

  133. [141]

    Ellwanger ,\ 10.1007/BF01555911 journal journal Z

    author author U. Ellwanger ,\ 10.1007/BF01555911 journal journal Z. Phys. C \ volume 62 ,\ pages 503 ( year 1994 ) ,\ http://arxiv.org/abs/hep-ph/9308260 arXiv:hep-ph/9308260 NoStop

    1994 arXiv

  134. [142]

    Dupuis , author L

    author author N. Dupuis , author L. Canet , author A. Eichhorn , author W. Metzner , author J. M. \ Pawlowski , author M. Tissier , \ and\ author N. Wschebor ,\ 10.1016/j.physrep.2021.01.001 journal journal Phys. Rept. \ volume 910 ,\ pages 1 ( year 2021 ) ,\ http://arxiv.org/...

    2021 arXiv

  135. [143]

    author author D. F. \ Litim \ and\ author J. M. \ Pawlowski ,\ 10.1088/1126-6708/2002/09/049 journal journal JHEP \ volume 09 ,\ pages 049 ( year 2002 ) ,\ http://arxiv.org/abs/hep-th/0203005 arXiv:hep-th/0203005 NoStop

    2002 arXiv

  136. [144]

    author author J. C. \ Ward ,\ 10.1103/PhysRev.78.182 journal journal Phys. Rev. \ volume 78 ,\ pages 182 ( year 1950 ) NoStop

    1950 doi

  137. [145]

    Takahashi ,\ 10.1007/BF02832514 journal journal Nuovo Cim

    author author Y. Takahashi ,\ 10.1007/BF02832514 journal journal Nuovo Cim. \ volume 6 ,\ pages 371 ( year 1957 ) NoStop

    1957 doi

  138. [146]

    de Brito \ and\ author M

    author author G. de Brito \ and\ author M. Schiffer ,\ @noop \ http://arxiv.org/abs/To appear To appear NoStop

Pith tools

Reviewed August 6, 2026 · model on record in the stance chip above.