Solitary waves and vortices in non-Abelian gauge theories with matter

TL;DR

This paper demonstrates the existence of solitary wave solutions in a non-Abelian SU(2) gauge theory coupled with matter, extending known results from Klein-Gordon-Maxwell equations to more complex gauge interactions.

Contribution

It establishes the existence of solitary waves in a non-Abelian gauge theory with matter, a novel extension of previous Klein-Gordon-Maxwell results.

Findings

Existence of solitary wave solutions proven

Extension of Klein-Gordon-Maxwell results to non-Abelian gauge theories

Provides mathematical foundation for solitons in non-Abelian gauge-matter systems

Abstract

We consider a non-Abelian gauge theory in R^{4} equipped with the Minkowski metric, which provides a model for the interaction between a bosonic matter field and a gauge field with gauge group SU(2). We prove the existence of solitary waves which are related to those found for the Klein-Gordon-Maxwell equations.