Homotopy, monopoles and 't Hooft tensor for generic gauuge groups

TL;DR

This paper investigates monopoles and the 't Hooft tensor in general gauge theories to enhance understanding of color confinement through dual symmetry mechanisms.

Contribution

It introduces a generalized framework for monopoles and the 't Hooft tensor applicable to arbitrary gauge groups, advancing theoretical insights into confinement.

Findings

Generalized 't Hooft tensor formulation for various gauge groups

Insights into dual symmetry and color confinement

Framework applicable to non-Abelian gauge theories

Abstract

We study monopoles and corresponding 't Hooft tensor in a generic gauge theory. This issue is relevant to the understanding of the color confinement in terms of dual symmetry.