Dual Superconductors and SU(2) Yang-Mills

TL;DR

This paper interprets SU(2) Yang-Mills theory as a two-band dual superconductor with Josephson coupling, exploring implications for flux quantization, vortex confinement, and exotic statistics.

Contribution

It introduces a novel dual superconductor model for SU(2) Yang-Mills theory incorporating interband Josephson coupling, offering new insights into confinement mechanisms.

Findings

Electric flux quantization is explained within the model.

Vortices with fractional flux are confined.

Closed vortex loops may exhibit exotic exchange statistics.

Abstract

We propose that the SU(2) Yang-Mills theory can be interpreted as a two-band dual superconductor with an interband Josephson coupling. We discuss various consequences of this interpretation including electric flux quantization, confinement of vortices with fractional flux, and the possibility that a closed vortex loop exhibits exotic exchange statistics.