Vortex Solutions of Four-fermion Theory coupled to a Yang-Mills-Chern-Simons Gauge Field

TL;DR

This paper constructs a four-fermion theory coupled with a Yang-Mills-Chern-Simons gauge field that admits static multi-vortex solutions by introducing an anomalous magnetic interaction and tuning the fermion coupling.

Contribution

It introduces a novel four-fermion model with gauge coupling that admits multi-vortex solutions, expanding the understanding of vortex configurations in gauge theories.

Findings

Existence of static multi-vortex solutions in the model

Role of anomalous magnetic interaction in vortex formation

Conditions on fermion quartic coupling for solutions

Abstract

We have constructed a four-fermion theory coupled to a Yang-Mills-Chern-Simons gauge field which admits static multi-vortex solutions. This is achieved through the introduction of an anomalous magnetic interation term in addition to the usual minimal coupling, and the appropriate choice of the fermion quartic coupling constant.