Non-Abelian magnetic monopole dominance for SU(3) Wilson loop average

TL;DR

This paper demonstrates that in SU(3) Yang-Mills theory, non-Abelian magnetic monopoles play a dominant role in quark confinement, contrasting with the SU(2) case, highlighting a key difference in gauge theories.

Contribution

It introduces a gauge-invariant definition of non-Abelian magnetic monopoles in SU(3) and shows their dominant contribution to quark confinement.

Findings

Non-Abelian magnetic monopoles dominate SU(3) Wilson loop averages.

Contrast with SU(2) case where monopoles are not dominant.

Supports the monopole dominance hypothesis in SU(3) confinement.

Abstract

We show that the non-Abelian magnetic monopole defined in a gauge-invariant way in SU(3) Yang-Mills theory gives a dominant contribution to confinement of the fundamental quark, in sharp contrast to the SU(2) case.