# Running Gauge Coupling in Asymptotically Safe Quantum Gravity

## TL;DR

This paper studies how quantum gravity influences the running of gauge couplings, finding a non-zero correction that supports the asymptotic safety of Quantum Einstein Gravity with a vanishing gauge coupling at the fixed point.

## Contribution

It provides a non-perturbative analysis of gauge coupling behavior in quantum gravity, revealing a quantum gravity correction consistent with asymptotic safety.

## Key findings

- Quantum gravity correction to the Yang-Mills beta function.
- Gauge coupling vanishes at the non-trivial fixed point.
- Supports asymptotic safety in Quantum Einstein Gravity.

## Abstract

We investigate the non-perturbative renormalization group behavior of the gauge coupling constant using a truncated form of the functional flow equation for the effective average action of the Yang-Mills-gravity system. We find a non-zero quantum gravity correction to the standard Yang-Mills beta function which has the same sign as the gauge boson contribution. Our results fit into the picture according to which Quantum Einstein Gravity (QEG) is asymptotically safe, with a vanishing gauge coupling constant at the non-trivial fixed point.