Concerning gauge field fluctuations around classical configurations

TL;DR

This paper develops a formalism to analyze non-Abelian gauge field fluctuations around classical configurations, enabling computation of the effective action in static backgrounds without Wu--Yang ambiguity.

Contribution

It introduces a transformation to a homogeneously transforming field variable for non-Abelian gauge fluctuations, facilitating effective action calculations.

Findings

Effective action computed for gauge fluctuations in static backgrounds

Elimination of Wu--Yang ambiguity in the formalism

Provides a new method for analyzing gauge field fluctuations

Abstract

We treat the fluctuations of non-Abelian gauge fields around a classical configuration by means of a transformation from the Yang--Mills gauge field to a homogeneously transforming field variable. We use the formalism to compute the effective action induced by these fluctuations in a static background without Wu--Yang ambiguity.