Gravitational Correction and Weak Gravity Conjecture

TL;DR

This paper explores how gravitational effects influence gauge coupling behavior and discusses the implications of the weak gravity conjecture across various theories and dimensions.

Contribution

It generalizes the gravitational correction to gauge couplings and the weak gravity conjecture to non-Abelian theories and higher-dimensional models.

Findings

Gravitational corrections can dominate gauge couplings under certain conditions.

Weak gravity conjecture constrains the validity of gauge theories with gravity.

The analysis applies to theories with extra dimensions.

Abstract

We consider the gravitational correction to the running of gauge coupling. Weak gravity conjecture implies that the gauge theories break down when the gravitational correction becomes greater than the contribution from gauge theories. This observation can be generalized to non-Abelian gauge theories in diverse dimensions and the cases with large extra dimensions.