Monopole Solutions of the Massive SU(2) Yang-Mills-Higgs Theory

TL;DR

This paper investigates monopole solutions in a 2+1 dimensional SU(2) Yang-Mills-Higgs model with a Chern-Simons mass term, providing numerical solutions that interpolate between different regimes.

Contribution

It offers the first numerical regular solutions for monopoles in the massive SU(2) Yang-Mills-Higgs theory with Chern-Simons term, extending previous theoretical work.

Findings

Numerical solutions smoothly interpolate between small and large distances.

Solutions depend on the strength of the Chern-Simons term.

Monopoles are regular everywhere in the studied model.

Abstract

Monopoles in topologically massive gauge theories in 2+1 dimensions with a Chern-Simon mass term have been studied by Pisarski some years ago. He investigated the SU(2) Yang-Mills-Higgs model with an additional Chern-Simon mass term in the action. Pisarski argued that there is a monopole solution that is regular everywhere, but found that it does not possess finite action. There were no exact or numerical solutions being presented by Pisarski. Hence it is our purpose to further investigate this solution in more detail. We obtained numerical regular solutions that smoothly interpolates between the behavior at small and large distances for different values of Chern-Simon term strength and for several fixed values of Higgs field strength.