Color Confinement in QCD due to Topological Defects

TL;DR

This paper derives the area law of the Wilson loop in SU(N) Yang-Mills theory using a new non-Abelian Stokes theorem and reformulation, highlighting the roles of Abelian and monopole dominance in color confinement.

Contribution

It introduces a novel derivation of the Wilson loop area law in SU(N) QCD based on a new non-Abelian Stokes theorem and reformulation of Yang-Mills theory.

Findings

Derivation of the Wilson loop area law in SU(N) Yang-Mills theory.

Demonstration of Abelian dominance in string tension.

Establishment of monopole dominance in color confinement.

Abstract

We outline a derivation of area law of the Wilson loop in SU(N) Yang-Mills theory in the maximal Abelian gauge. This is based on a new version of non-Abelian Stokes theorem and the novel reformulation of the Yang-Mills theory. Abelian dominance and monopole dominance of the string tension in SU(N) QCD are immediate consequences of this derivation.