Non-perturbative QEG Corrections to the Yang-Mills Beta Function

TL;DR

This paper investigates the non-perturbative behavior of the Yang-Mills gauge coupling within the framework of Quantum Einstein Gravity, providing evidence for asymptotic safety and a vanishing coupling at a fixed point.

Contribution

It introduces a truncated functional flow equation approach to study the non-perturbative renormalization group evolution of the gauge coupling in Yang-Mills-gravity systems.

Findings

Supports the asymptotic safety of Quantum Einstein Gravity

Finds a non-trivial fixed point with vanishing gauge coupling

Consistent with the conjecture of asymptotic safety in QEG

Abstract

We discuss the non-perturbative renormalization group evolution of the gauge coupling constant by using a truncated form of the functional flow equation for the effective average action of the Yang-Mills-gravity system. Our result is consistent with the conjecture that Quantum Einstein Gravity (QEG) is asymptotically safe and has a vanishing gauge coupling constant at the non-trivial fixed point.