Paper Citation Record · LEDGER

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity

As of 19 August 2026, this Paper Citation Record lists 100 of 183 outbound references and 3 inbound Pith citation observations for arXiv:2512.14009.

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pith.paper-citation-record.v1
2512.14009 v2

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measured 100 of 183 reference resolution

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Source: pith, observed 2026-07-04T09:19:43.345527Z

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Outbound references

Observation 186a6062-1e57-49de-8ec1-49037e64a0dd · outbound

This paper cites physical gauge fixing.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity physical gauge fixing

Reference 1

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Observation d3b3645c-d3cd-42c4-aba8-d60d2d6d5f8d · outbound

This paper cites To derive the explicit form for the metric two-point function, we split the metric fluctuations into physical and gauge fluctuations [169].

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity To derive the explicit form for the metric two-point function, we split the metric fluctuations into physical and gauge fluctuations [169]

Reference 2

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Observation 134dd9d4-1d8b-4559-971f-9dbfd443b234 · outbound

This paper cites We start with the Gaussian integral for the metric fluctuationsh µν.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity We start with the Gaussian integral for the metric fluctuationsh µν

Reference 3

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Observation 8c31e445-61c6-4bd0-ade9-3dab93e73978 · outbound

This paper cites The TT-projection operator is given by P (t)µνρσ = 1 2 (P µρP νσ +P µσP νρ)− 1 3 P µνP ρσ ,(C5) withP µν defined by eq.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity The TT-projection operator is given by P (t)µνρσ = 1 2 (P µρP νσ +P µσP νρ)− 1 3 P µνP ρσ ,(C5) withP µν defined by eq

Reference 4

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Observation eafc57ed-92a8-466b-8fce-b5ab49520bcc · outbound

This paper cites Note that ¯D1 is defined in eq.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Note that ¯D1 is defined in eq

Reference 5

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Observation 5381b7b1-38bd-46bb-a021-13a0dd9b5743 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Unresolved cited work

Reference 6

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Observation ee97c564-3e03-477b-ba2e-0f935013f8d3 · outbound

This paper cites T” and “TT.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity T” and “TT

Reference 7

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Observation 7dceb41a-600d-4093-9686-0081f1518e27 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Unresolved cited work

Reference 8

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Observation 5f68448b-795e-48a4-afd0-d581a2dd0d74 · outbound

This paper cites P˜σ˜σP˜σφ Pφ˜σ Pφφ ! 0 (V (2) ph )12(∂2) (V (2) ph )21(∂2)B ! P˜σ˜σP˜σφ Pφ˜σ Pφφ ! ∂tR˜σ˜σ k ∂tR˜σφ k ∂tRφ˜σ k ∂tRφφ k !# + 1 2 1 (4π)2 Z x tr.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity P˜σ˜σP˜σφ Pφ˜σ Pφφ ! 0 (V (2) ph )12(∂2) (V (2) ph )21(∂2)B ! P˜σ˜σP˜σφ Pφ˜σ Pφφ ! ∂tR˜σ˜σ k ∂tR˜σφ k ∂tRφ˜σ k ∂tRφφ k !# + 1 2 1 (4π)2 Z x tr

Reference 9

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Observation 7bbb3c67-a91e-4e45-b8b9-ef9bfed98d05 · outbound

This paper cites [142] finds u0 = 0.0006460, w 0 = 0.002757, η=−∂ t logκ 0 = 1.6669.(G5) 25.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity [142] finds u0 = 0.0006460, w 0 = 0.002757, η=−∂ t logκ 0 = 1.6669.(G5) 25

Reference 10

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Observation bec361e3-9359-412c-a919-eac222eb4308 · outbound

This paper cites To compare the results between ours and Ref.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity To compare the results between ours and Ref

Reference 11

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Unresolved cited work

Reference 12

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Observation f3afe420-3997-4115-abf5-23ed406a4259 · outbound

This paper cites Sato,First-order phase transition of a vacuum and the expansion of the Universe,Mon.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Sato,First-order phase transition of a vacuum and the expansion of the Universe,Mon

Reference 13

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Observation 3300be9f-dd3f-40c0-bd89-a3b81003e264 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Unresolved cited work

Reference 14

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Observation 1f4887d0-23a9-4a38-8922-f48419a694b0 · outbound

This paper cites Cosmology and the Fate of Dilatation Symmetry.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Cosmology and the Fate of Dilatation Symmetry

Reference 15

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Observation 931256b9-ed51-4c96-8953-37cf3fa5ad91 · outbound

This paper cites Ratra and P.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Ratra and P

Reference 16

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Observation 7afaf404-2835-4a99-b6e5-a484fc847a1d · outbound

This paper cites Dynamics of dark energy.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Dynamics of dark energy

Reference 17

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Observation 519cae16-fb99-4316-8e17-158839893a9a · outbound

This paper cites Variable gravity Universe.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Variable gravity Universe

Reference 18

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Observation f1783e5e-5c2b-4a24-a888-f96b4a54df76 · outbound

This paper cites A Universe without expansion.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity A Universe without expansion

Reference 19

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Observation 8a2022b2-c2d4-4b86-aa39-a4015d93a463 · outbound

This paper cites Cosmon inflation.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Cosmon inflation

Reference 20

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This paper cites Inflation, quintessence, and the origin of mass.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Inflation, quintessence, and the origin of mass

Reference 21

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Observation de1e8d49-c0fe-4fcb-8ff9-cd5662571504 · outbound

This paper cites Primordial cosmic fluctuations for variable gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Primordial cosmic fluctuations for variable gravity

Reference 22

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Unification of inflation and dark energy {\it \`a la} quintessential inflation

Reference 23

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Variable gravity: A suitable framework for quintessential inflation

Reference 24

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Emergent scale symmetry: Connecting inflation and dark energy

Reference 25

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Quintessential inflation: A tale of emergent and broken symmetries

Reference 26

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Observation ce3c3870-a570-4bda-9c00-40e52dc163a8 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Quantum scale symmetry

Reference 27

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This paper cites Weinberg,Ultraviolet divergences in quantum theories of gravitation,General Relativity: An Einstein Centenary Survey edited by S.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Weinberg,Ultraviolet divergences in quantum theories of gravitation,General Relativity: An Einstein Centenary Survey edited by S

Reference 28

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Nonperturbative Evolution Equation for Quantum Gravity

Reference 29

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Observation d877eeef-a7ec-4ce3-a74c-6e45b22a3154 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Non-Trivial Ultraviolet Fixed Point in Quantum Gravity

Reference 30

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This paper cites Exact evolution equation for the effective potential.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Exact evolution equation for the effective potential

Reference 31

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Flow Equation of Quantum Einstein Gravity in a Higher-Derivative Truncation

Reference 32

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Fixed Points of Higher Derivative Gravity

Reference 33

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity A bootstrap strategy for asymptotic safety

Reference 34

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Further evidence for asymptotic safety of quantum gravity

Reference 35

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Asymptotic safety of quantum gravity beyond Ricci scalars

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Aspects of asymptotic safety for quantum gravity

Reference 37

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Fixed Points of Quantum Gravity and the Dimensionality of the UV Critical Surface

Reference 38

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Functional Renormalisation for $f(R_{\mu\nu\rho\sigma})$ Quantum Gravity

Reference 39

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Asymptotic safety in the f(R) approximation

Reference 40

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Redundant operators in the exact renormalisation group and in the f(R) approximation to asymptotic safety

Reference 41

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Asymptotic safety and field parametrization dependence in the f(R) truncation

Reference 42

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Higher Derivative Gravity and Asymptotic Safety in Diverse Dimensions

Reference 43

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Ultraviolet Fixed Points in Conformal Gravity and General Quadratic Theories

Reference 44

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Asymptotic safety in higher-derivative gravity

Reference 45

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Taming perturbative divergences in asymptotically safe gravity

Reference 46

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity The Universal RG Machine

Reference 47

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Higher Derivative Gravity from the Universal Renormalization Group Machine

Reference 48

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Bimetric Renormalization Group Flows in Quantum Einstein Gravity

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity The phase diagram of quantum gravity from diffeomorphism-invariant RG-flows

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Fixed points and infrared completion of quantum gravity

Reference 51

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Observation 363d9d4f-c544-42d2-8ac9-ebac0601e89e · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Global Flows in Quantum Gravity

Reference 52

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Four-Derivative Quantum Gravity Beyond Perturbation Theory

Reference 53

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Curvature dependence of quantum gravity

Reference 54

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Observation e7802614-1789-4a4b-905d-4fe8ba0b1190 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Effective universality in quantum gravity

Reference 55

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Observation 0cc1d9f2-f8e5-49d6-b09b-4938360b4400 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity How perturbative is quantum gravity?

Reference 56

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Consistent closure of renormalization group flow equations in quantum gravity

Reference 57

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Observation 8a6942be-d84c-4451-b868-498af51e24e5 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity RG flows of Quantum Einstein Gravity in the linear-geometric approximation

Reference 58

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Observation 3120e120-38c6-4052-b2ef-a8101150e50e · outbound

This paper cites Quantum gravity on foliated spacetime - asymptotically safe and sound.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Quantum gravity on foliated spacetime - asymptotically safe and sound

Reference 59

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Observation 14c7d5b5-8c85-40c2-bc98-1bfaa7fb3eef · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity The Gravitational Two-Loop Counterterm is Asymptotically Safe

Reference 60

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Observation b649a580-c161-43a2-8793-8e85efa74d25 · outbound

This paper cites Unimodular quantum gravity: Steps beyond perturbation theory.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Unimodular quantum gravity: Steps beyond perturbation theory

Reference 61

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Observation 925f32aa-b8ca-4b90-9400-7bc286410dec · outbound

This paper cites Exploring new corners of asymptotically safe unimodular quantum gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Exploring new corners of asymptotically safe unimodular quantum gravity

Reference 62

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Observation 61256d47-f1d7-41c5-bf58-d96927443cda · outbound

This paper cites Can quantum fluctuations differentiate between standard and unimodular gravity?.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Can quantum fluctuations differentiate between standard and unimodular gravity?

Reference 63

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Observation 51921144-f2e0-44e7-9075-db29577fa2ba · outbound

This paper cites Asymptotic solutions in asymptotic safety.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Asymptotic solutions in asymptotic safety

Reference 64

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Observation 35157ac0-c637-4f39-bd1f-0bc7a6a94838 · outbound

This paper cites Essential Quantum Einstein Gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Essential Quantum Einstein Gravity

Reference 65

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Observation 8e839278-7ded-452b-a03f-c8254b04257c · outbound

This paper cites Relational observables in Asymptotically safe gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Relational observables in Asymptotically safe gravity

Reference 66

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Observation 5c38e288-cbde-4de0-a883-15b190fe948a · outbound

This paper cites Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Nonvanishing gravitational contribution to matter beta functions for vanishing dimensionful regulators

Reference 67

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Observation ee8d11be-5f9e-4ccb-940b-9c32ae779c33 · outbound

This paper cites Quantum gravity: a fluctuating point of view.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Quantum gravity: a fluctuating point of view

Reference 68

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Observation f0160123-567b-489b-b0c6-c74ae385955a · outbound

This paper cites Towards the determination of the dimension of the critical surface in asymptotically safe gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Towards the determination of the dimension of the critical surface in asymptotically safe gravity

Reference 69

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Observation 9c3f7635-5c2f-4f01-9c1d-08219f4063ba · outbound

This paper cites The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity The derivative expansion in asymptotically safe quantum gravity: general setup and quartic order

Reference 70

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Observation 62b0f20d-1b33-4175-afd3-9ea3bbe1770b · outbound

This paper cites Provable properties of asymptotic safety in $f(R)$ approximation.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Provable properties of asymptotic safety in $f(R)$ approximation

Reference 71

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Observation e85c7735-eeba-4013-a4f0-75d2cf8a3904 · outbound

This paper cites The functional $f(R)$ approximation.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity The functional $f(R)$ approximation

Reference 72

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Observation ac7c5be4-6e15-4dd3-8520-97844d25a6d5 · outbound

This paper cites Asymptotic freedom and safety in quantum gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Asymptotic freedom and safety in quantum gravity

Reference 73

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Observation 3ed897d7-6ba4-440f-b1aa-186dc78d8f5d · outbound

This paper cites Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Shift-symmetric Horndeski gravity in the asymptotic-safety paradigm

Reference 74

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Observation fe4a5ffe-e970-4bf3-bad2-505a5dee92d7 · outbound

This paper cites Foliated asymptotically safe gravity in the fluctuation approach.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Foliated asymptotically safe gravity in the fluctuation approach

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-03T16:21:36.117355Z

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Observation 6cecc219-9c4a-4d4f-8eab-181d9566a03b · outbound

This paper cites On the origin of almost-Gaussian scaling in asymptotically safe quantum gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity On the origin of almost-Gaussian scaling in asymptotically safe quantum gravity

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-03T16:21:36.223750Z

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Observation 158042d8-da0d-4103-a308-c268e5ec2058 · outbound

This paper cites Wave Function Renormalization in Asymptotically Safe Quantum Gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Wave Function Renormalization in Asymptotically Safe Quantum Gravity

Reference 77

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Observation b8a23759-5e5d-42c6-915e-4797d3b63ebe · outbound

This paper cites Standard Running, "Physical Running", Cosmological Constant and Newton Coupling.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Standard Running, "Physical Running", Cosmological Constant and Newton Coupling

Reference 78

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Observation 36b870f1-4764-4a24-abee-ee6a7bdbc073 · outbound

This paper cites Foliated Asymptotically Safe Gravity: Lorentzian Signature Fluctuations from the Wick Rotation.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Foliated Asymptotically Safe Gravity: Lorentzian Signature Fluctuations from the Wick Rotation

Reference 79

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Observation 75ee9f6a-d082-4665-b0bc-5dd4abccfb1f · outbound

This paper cites Self-consistent graviton spectral function in Lorentzian quantum gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Self-consistent graviton spectral function in Lorentzian quantum gravity

Reference 80

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Observation 57d976d5-5ce5-4014-aa40-837a4a721f42 · outbound

This paper cites Matter matters in asymptotically safe quantum gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Matter matters in asymptotically safe quantum gravity

Reference 81

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Observation f97d693d-5f22-4f45-99fe-ee5d5473f9c7 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Asymptotic safety in an interacting system of gravity and scalar matter

Reference 82

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Observation f2f72f5c-dae9-4c8d-843c-63425a383fd6 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Search of scaling solutions in scalar-tensor gravity

Reference 83

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Observation 023e9e5e-1d3a-4bc8-a1f7-d0f4c54bac5c · outbound

This paper cites Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Non-minimal coupling in Higgs-Yukawa model with asymptotically safe gravity

Reference 84

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Observation 5f894c57-a4c0-4f14-b531-da309696cc5d · outbound

This paper cites Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Asymptotic safety of higher derivative quantum gravity non-minimally coupled with a matter system

Reference 85

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Observation e3ea1b9e-ba50-45b6-a49d-d1b54dc2acfc · outbound

This paper cites Asymptotic safety of gravity-matter systems.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Asymptotic safety of gravity-matter systems

Reference 86

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Observation a3fb945d-2d49-43b1-a1b2-513ad982ea4d · outbound

This paper cites Asymptotic safety in $O(N)$ scalar models coupled to gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Asymptotic safety in $O(N)$ scalar models coupled to gravity

Reference 87

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Observation 1a402313-f25a-4e35-99e1-4803a3b7460c · outbound

This paper cites Quantum-gravity effects on a Higgs-Yukawa model.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Quantum-gravity effects on a Higgs-Yukawa model

Reference 88

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Observation 78d619e4-4e95-446b-9fc8-2a4b5ff1d4ba · outbound

This paper cites The Renormalization Group flow of unimodular f(R) gravity.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity The Renormalization Group flow of unimodular f(R) gravity

Reference 89

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Observation 93ba0d8f-ac4d-4886-91ea-7df7776b8413 · outbound

This paper cites One force to rule them all: asymptotic safety of gravity with matter.

Scaling solutions for gauge invariant flow equations in dilaton quantum gravity One force to rule them all: asymptotic safety of gravity with matter

Reference 90

Resolution: unresolved; no resolver link, observed 2026-08-03T16:21:37.885913Z

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Observation 75645e6e-72ea-4ae0-b916-59f1d218ecc9 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Chiral fermions in asymptotically safe quantum gravity

Reference 91

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Reference 92

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity On the impact of Majorana masses in gravity-matter systems

Reference 93

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This paper cites Zooming in on fermions and quantum gravity.

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Reference 94

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Observation e3463b52-86ec-4ef2-8101-4d4385e33100 · outbound

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Scaling solutions for gauge invariant flow equations in dilaton quantum gravity Asymptotically safe f(R)-gravity coupled to matter I: the polynomial case

Reference 95

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Observation 3e4e739b-c212-43b1-8954-b0f316d7e09a · outbound

This paper cites Asymptotically Safe $f(R)$-Gravity Coupled to Matter II: Global Solutions.

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Observation 64a99bca-760c-4811-895f-cdb6d6fda955 · outbound

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Reference 97

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Observation 1d127fca-a9e0-4edf-9574-64474d547e34 · outbound

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Observation 1e71e8d4-a840-4c28-a123-d8dfae0307ab · outbound

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Reference 99

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Observation 5f7eb2d7-b100-4bae-be2b-cd2d003eedf7 · outbound

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