Comment on Path integral measure and RG equations for gravity

Aaron Held; Alessia Platania; Benjamin Knorr; Frank Saueressig; Jan M. Pawlowski; Manuel Reichert; Marc Schiffer

Comment on Path integral measure and RG equations for gravity

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arxiv 2504.12006 v1 pith:UWZWHCZZ submitted 2025-04-16 hep-th

Aaron Held , Benjamin Knorr , Jan M. Pawlowski , Alessia Platania , Manuel Reichert , Frank Saueressig , Marc Schiffer This is my paper

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Asymptotic safety is a candidate for a predictive quantum theory of gravity and matter. Recent works (arXiv:2412.10194 and arXiv:2412.14108) challenged this scenario. We show that their arguments fail on a basic level.

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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.

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