Further evidence for asymptotic safety of quantum gravity

TL;DR

This paper provides strong evidence supporting the asymptotic safety conjecture in quantum gravity by identifying a stable UV fixed point through extensive renormalisation group analysis of polynomial actions.

Contribution

It extends previous studies by analyzing polynomial actions up to the 34th power and extrapolating to infinite order, establishing the fixed point's self-consistency and stability.

Findings

Identification of an interacting UV fixed point

Evidence of convergence and stability of the fixed point

Support for the asymptotic safety conjecture in quantum gravity

Abstract

The asymptotic safety conjecture is examined for quantum gravity in four dimensions. Using the renormalisation group, we find evidence for an interacting UV fixed point for polynomial actions up to the 34th power in the Ricci scalar. The extrapolation to infinite polynomial order is given, and the self-consistency of the fixed point is established using a bootstrap test. All details of our analysis are provided. We also clarify further aspects such as stability, convergence, the role of boundary conditions, and a partial degeneracy of eigenvalues. Within this setting we find strong support for the conjecture.