The dressing field method in gauge theories - geometric approach

被引：6

作者：

Zajac, Marcin ^{[1
]}

机构：

[1] Univ Warsaw, Fac Phys, Dept Math Methods Phys, Ul Pasteura 5, PL-02093 Warsaw, Poland

来源：

JOURNAL OF GEOMETRIC MECHANICS | 2023年 / 15卷 / 01期

关键词：

dressing field method; gauge theories; jet bundles; principal bundles; reduction;

D O I：

10.3934/jgm.2023007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Recently, T. Masson, J. Francois, S. Lazzarini, C. Fournel and J. Attard have introduced a new method of the reduction of gauge symmetries called the 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 a 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.

引用

页码：128 / 146

页数：19