Homotopy, monopoles and 't Hooft tensor in QCD with generic gauge group

TL;DR

This paper investigates monopoles and the 't Hooft tensor in QCD with arbitrary gauge groups to deepen understanding of color confinement via dual symmetry mechanisms.

Contribution

It extends the analysis of monopoles and 't Hooft tensor to generic gauge groups, providing new insights into dual symmetry and confinement in QCD.

Findings

Monopoles are characterized for generic gauge groups.

The 't Hooft tensor is constructed for various gauge groups.

Implications for color confinement mechanisms are discussed.

Abstract

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