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Zooming in on fermions and quantum gravity

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arxiv 1812.08782 v2 pith:6LKPK23M submitted 2018-12-20 hep-th gr-qc

classification hep-thgr-qc
keywords gravityasymptotic-safetyfermionfermionsfixedmatterpointpresence
verification ladder T0 review T1 audit T2 compute T3 formal
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We zoom in on the microscopic dynamics for fermions and quantum gravity within the asymptotic-safety paradigm. A key finding of our study is the unavoidable presence of a nonminimal derivative coupling between the curvature and fermion fields in the ultraviolet. Its backreaction on the properties of the Reuter fixed point remains small for finite fermion numbers within a bounded range. This constitutes a nontrivial test of the asymptotic-safety scenario for gravity and fermionic matter, additionally supplemented by our studies of the momentum-dependent vertex flow which indicate the subleading nature of higher-derivative couplings. Moreover our study provides further indications that the critical surface of the Reuter fixed point has a low dimensionality even in the presence of matter.

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Cited by 9 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. The fermion sector of the SMEFT from asymptotically safe gravity

    hep-th 2026-07 conditional novelty 7.0 of 10

    In a toy model of one quark generation, asymptotically safe gravity predicts four-fermion SMEFT coefficients are either Planck-scale suppressed or zero, with exceptions only at very large gravitational coupling.

  2. Spectral Functions of Lorentzian Quantum Gravity

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Spectral functions for graviton and scalar graviton modes are derived in Lorentzian asymptotically safe quantum gravity via adapted FRG flow equations, yielding normalisable results consistent with infrared effective theory.

  3. The Graviton Propagator in Asymptotically Safe Gravity with Non-Local Form Factors

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    At quadratic order in asymptotically safe gravity, the graviton propagator has a single pole at q²=0 with positive residue, no ghost poles, and yields a regular Newtonian potential at r=0.

  4. Scaling solutions for gauge invariant flow equations in dilaton quantum gravity

    hep-th 2025-12 conditional novelty 6.0 of 10

    Scaling solutions of a gauge-invariant functional flow equation support the dilaton quantum gravity fixed point, with Planck mass ~ φ² at large field and a stable negative kinetial in the infrared.

  5. Towards theory constraints on ultralight dark matter from quantum gravity

    hep-ph 2025-10 unverdicted novelty 6.0 of 10

    In asymptotically safe gravity, dimension-five couplings of ultralight scalar dark matter to gauge field strengths vanish and are not generated perturbatively.

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

    hep-th 2025-08 unverdicted novelty 6.0 of 10

    The existence of an asymptotically safe UV completion for the Abelian gauge coupling is shown to survive simultaneous variations of the regulator and gauge parameters in certain minimal-sensitivity regions.

  7. Matter Spectral Functions from Quantum Gravity

    hep-th 2025-07 conditional novelty 6.0 of 10

    Under asymptotically safe quantum gravity, photon and scalar propagators acquire Källén-Lehmann spectral functions that are non-normalizable and change sign in the ultraviolet.

  8. Gravitationally Induced UV Completion of an $O(N)$ Scalar Theory

    hep-th 2026-01 conditional novelty 5.0 of 10

    Gravity's non-minimal coupling drives the quartic self-coupling of an O(N) scalar to zero at an attractive fixed point, making the broken-phase theory UV-complete and bounding the scalar mass.

  9. Asymptotically safe quantum gravity and its phenomenology -- a review

    hep-th 2026-06 unverdicted novelty 1.0 of 10

    Review surveying progress toward realistic asymptotically safe quantum gravity with quantum scale symmetry and observational implications.

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