# Quantum gravity corrections to gauge theories with a cutoff regularization

## TL;DR

This paper investigates quantum gravity effects on gauge theories using a gauge-preserving cutoff, finding that gravity does not induce asymptotic freedom in gauge interactions.

## Contribution

It introduces a gauge and Lorentz invariant momentum cutoff to compute quantum gravity corrections to gauge theories, showing no asymptotic freedom induced by gravity.

## Key findings

- Quadratic contributions to photon 2-point function are non-zero but do not affect coupling running.
- Gravity does not make gauge interactions asymptotically free.
- The approach preserves gauge and Lorentz symmetries in the regularization.

## Abstract

Gravity can be considered as an effective quantum field theory with reliable, but limited predictions. Though the influence of gravity on gauge and other interactions of elementary particles is still an open question. We calculate the lowest order quantum gravity contributions to the QED beta function in an effective field theory picture with a momentum cutoff. We use a recently proposed 4 dimensional improved momentum cutoff that preserves gauge and Lorentz symmetries. We find that there is a non-vanishing quadratic contribution to the photon 2-point function but after renormalization that does not lead to the running of the original coupling. We comment on corrections to the other gauge interactions and Yukawa couplings of heavy fermions. We argue that gravity cannot turn gauge interactions asymptotically free.