Asymptotic freedom of Yang-Mills theory with gravity

TL;DR

This paper demonstrates that Yang-Mills theory remains asymptotically free even when coupled with various gravity models, showing no gravitational influence on the gauge coupling's behavior under certain symmetry conditions.

Contribution

It proves that gravitational interactions do not affect the asymptotic freedom of Yang-Mills theory across multiple gravity frameworks, extending previous understanding.

Findings

Gravitational sector does not alter gauge coupling running in weak gravity limit.

Asymptotic freedom persists with gravitational shielding and asymptotically safe gravity.

Symmetry preservation is key to maintaining asymptotic freedom with gravity.

Abstract

We study the behaviour of Yang-Mills theory under the inclusion of gravity. In the weak- gravity limit, the running gauge coupling receives no contribution from the gravitational sector, if all symmetries are preserved. This holds true with and without cosmological constant. We also show that asymptotic freedom persists in general field-theory-based gravity scenarios including gravitational shielding as well as asymptotically safe gravity.