Self-dual vortex-like configurations in SU(2) Yang-Mills Theory

TL;DR

This paper demonstrates the existence of self-dual, vortex-like solutions in SU(2) Yang-Mills theory, characterized by flux concentrated along a thick two-dimensional wall, constructed from specific self-dual configurations.

Contribution

It introduces new vortex-like solutions in SU(2) Yang-Mills theory, expanding understanding of classical solutions with flux tube structures.

Findings

Solutions are self-dual and vortex-like in R^4.

Action density is concentrated along a thick two-dimensional wall.

Configurations are constructed from self-dual R^2 x T^2 configurations.

Abstract

We show that there are solutions of the SU(2) Yang-Mills classical equations of motion in R^4, which are self-dual and vortex-like(fluxons). The action density is concentrated along a thick two-dimensional wall (the world sheet of a straight infinite vortex line). The configurations are constructed from self-dual R^2 x T^2 configurations.