Unimodular quantum gravity: Steps beyond perturbation theory

TL;DR

This paper investigates the non-perturbative renormalization group flow of unimodular quantum gravity, identifying a UV fixed point and analyzing symmetry-breaking effects, thus advancing understanding beyond perturbation theory.

Contribution

It provides the first detailed non-perturbative analysis of unimodular quantum gravity's RG flow, including ghost contributions and symmetry-breaking effects.

Findings

Discovery of an ultraviolet attractive fixed point.

Analysis of symmetry-breaking terms on the flow.

Discussion on the equivalence with standard gravity theories.

Abstract

The renormalization group flow of unimodular quantum gravity is computed by taking into account the graviton and Faddeev-Popov ghosts anomalous dimensions. In this setting, a ultraviolet attractive fixed point is found. Symmetry-breaking terms induced by the coarse-graining procedure are introduced and their impact on the flow is analyzed. A discussion on the equivalence of unimodular quantum gravity and standard full diffeomorphism invariant theories is provided beyond perturbation theory.