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Proper Time Flow Equation for Gravity

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arxiv hep-th/0410191 v1 pith:A6HOJPNR submitted 2004-10-19 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords equationpropertimegravitygrouprenormalizationactionaverage
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We analyze a proper time renormalization group equation for Quantum Einstein Gravity in the Einstein-Hilbert truncation and compare its predictions to those of the conceptually different exact renormalization group equation of the effective average action. We employ a smooth infrared regulator of a special type which is known to give rise to extremely precise critical exponents in scalar theories. We find perfect consistency between the proper time and the average action renormalization group equations. In particular the proper time equation, too, predicts the existence of a non-Gaussian fixed point as it is necessary for the conjectured nonperturbative renormalizability of Quantum Einstein Gravity.

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Cited by 5 Pith papers

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

  1. De Sitter quantum gravity within the covariant Lorentzian approach to asymptotic safety

    hep-th 2025-02 conditional novelty 7.0 of 10

    In the Einstein-Hilbert truncation on de Sitter, the Lorentzian FRG flow exhibits a non-Gaussian UV fixed point for ζ=1/2 and ζ=1 gauges over restricted parameter ranges.

  2. Path integral measure and RG equations for gravity

    hep-th 2024-12 conditional novelty 7.0 of 10

    With a corrected path-integral measure and an on-shell running scale, the Einstein-Hilbert truncation of quantum gravity has only the Gaussian fixed point, removing the asymptotic safety fixed point.

  3. Proper-time functional renormalization in $O(N)$ scalar models coupled to gravity

    hep-th 2025-08 unverdicted novelty 5.0 of 10

    Proper-time FRG applied to gravity-coupled O(N) scalars largely reproduces scaling solutions and critical properties found with the effective average action, with some quantitative differences at finite and large N de...

  4. Diffeomorphism invariance of the effective gravitational action

    hep-th 2025-06 conditional novelty 5.0 of 10

    A careful calculation shows that the Fradkin-Vilkovisky path integral measure is diffeomorphism invariant, while the Fujikawa measure is not.

  5. 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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