First order framework for vortices in generalized Maxwell-Chern-Simons models without a neutral field

TL;DR

This paper presents a new first order framework for vortex solutions in generalized Maxwell-Chern-Simons models that lack a neutral scalar field, enabling the creation of vortices with unique core structures.

Contribution

It introduces a novel method to derive vortex solutions via first order equations in models without neutral fields, expanding the understanding of vortex configurations.

Findings

Vortex cores can be significantly modified using the new framework.

The methodology produces vortex configurations with unconventional features.

The approach simplifies obtaining vortex solutions in complex models.

Abstract

This work introduces a procedure to obtain vortex configurations described by first order equations in generalized Maxwell-Chern-Simons models without the inclusion of a neutral field. The results show that the novel methodology is capable of inducing important modification in the vortex core, leading to vortex configurations with unconventional features.