On ``Effective potential for a covariantly constant gauge field in curved spacetime''

TL;DR

This paper extends previous research on effective potentials for covariantly constant gauge fields to include larger spacetime curvatures and more general backgrounds, addressing limitations in earlier work.

Contribution

It introduces a more general analysis of gauge fields in curved spacetime, moving beyond small curvature approximations and specific background geometries.

Findings

Extended the effective potential analysis to non-small curvatures

Considered more general background geometries beyond previous models

Identified potential issues in earlier formulations

Abstract

We extend recent work by Elizalde et al. to incorporate curvatures which are not small and backgrounds which are not just $S^2\times R^2, S^1\times S^1 \times R^2$. Some possible problems in their paper is also pointed out.