# An asymptotically safe solution to the U(1) triviality problem

## TL;DR

This paper investigates how quantum gravity effects within the asymptotic safety framework can address the U(1) triviality problem by inducing an asymptotically safe fixed point, although complete asymptotic freedom for the gauge field remains unattainable.

## Contribution

It demonstrates that quantum gravity can lead to an asymptotically safe fixed point for Abelian gauge theories, providing a potential solution to the triviality problem.

## Key findings

- Quantum gravity fluctuations induce an asymptotically safe fixed point.
- Minimal gauge coupling can become asymptotically free under certain conditions.
- Complete asymptotic freedom for the gauge field is impossible due to induced interactions.

## Abstract

We explore whether quantum gravity effects within the asymptotic safety paradigm can provide a predictive ultraviolet completion for Abelian gauge theories. We evaluate the effect of quantum gravity fluctuations on the running couplings in the gauge sector and discover an asymptotically safe fixed point of the Renormalization Group. In particular, if the strength of gravitational interactions remains below a critical strength, the minimal gauge coupling becomes asymptotically free. Further, we point out that a completely asymptotically free dynamics for the gauge field is impossible to achieve, as asymptotically safe quantum gravity necessarily induces nonvanishing higher-order interactions for the gauge field in the ultraviolet.