Consistent closure of renormalization group flow equations in quantum gravity

TL;DR

This paper develops a systematic closure method for the renormalization group flow equations in quantum gravity, confirming a UV fixed point and enabling more general truncations of the gravitational effective action.

Contribution

It introduces a consistent closure approach for beta functions in quantum gravity, accounting for metric and ghost field anomalous dimensions.

Findings

Confirmed the existence of a UV attractive non-Gaussian fixed point.

Developed a general closure method applicable to various truncations.

Enhanced the understanding of RG flow in quantum gravity.

Abstract

We construct a consistent closure for the beta functions of the cosmological and Newton's constants by evaluating the influence of the fluctuating metric and ghost fields anomalous dimensions on their flow. In this generalized framework we confirm the presence of a UV attractive non-Gaussian fixed-point. Our closure method is general and can be applied systematically to more general truncations of the gravitational effective average action.