The dressing field method in gauge theories -- geometric approach

TL;DR

This paper explores the geometric foundations of the dressing field method in gauge theories, demonstrating how it facilitates principal bundle reduction and impacts the configuration and phase spaces.

Contribution

It provides a fiber bundle perspective on the dressing field method, revealing its geometric implications and how it enables gauge symmetry reduction.

Findings

The dressing field method induces principal bundle reduction.

It leads to a natural reduction of configuration and phase bundles.

The approach clarifies geometric structures in gauge theories.

Abstract

Recently, T. Masson, J. Francois, S. Lazzarini, C. Fournel and J. Attard have introduced a new method of the reduction of gauge symmetry called a dressing field method. In this paper we analyse this method from the fiber bundle point of view and we show the geometric implications for a principal bundle underlying a given gauge theory. We show how the existence of the dressing field satisfying certain conditions naturally leads to the reduction of the principal bundle and, as a consequence, to the reduction of the configuration and phase bundle of the system.