Four-Derivative Quantum Gravity Beyond Perturbation Theory

TL;DR

This paper explores the non-perturbative ultraviolet behavior of four-derivative quantum gravity, finding a non-trivial fixed point that supports the asymptotic safety scenario with a finite number of parameters.

Contribution

It demonstrates the existence of a non-perturbative ultraviolet fixed point in four-derivative quantum gravity beyond perturbation theory.

Findings

Identification of a non-trivial UV fixed point with only two free parameters

Support for the asymptotic safety scenario in quantum gravity

Evidence that the full theory may be described by finitely many parameters

Abstract

In this work we investigate the ultraviolet behavior of Euclidean four-derivative quantum gravity beyond perturbation theory. In addition to a perturbative fixed point, we find an ultraviolet fixed point that is non-trivial in all couplings and is described by only two free parameters. This result is in line with the asymptotic safety scenario in quantum gravity. In particular, it supports the conjecture that the full theory is described by a finite number of free parameters.