Analytic vortex solutions in generalized models of the Maxwell-Higgs type

TL;DR

This paper presents a method for deriving analytical vortex solutions in generalized Maxwell-Higgs models, demonstrating its effectiveness through three models, including one with compact vortex solutions.

Contribution

The authors develop a decoupling procedure for first order equations enabling analytical solutions in generalized Maxwell-Higgs models, including novel compact vortex configurations.

Findings

Analytical vortex solutions were obtained in three different models.

The method successfully decouples complex equations for easier solutions.

Compact vortex solutions were discovered in one of the models.

Abstract

This work deals with the presence of analytical vortex configurations in generalized models of the Maxwell-Higgs type in the three-dimensional spacetime. We implement a procedure that allows to decouple the first order equations, which we use to solve the model analytically. The approach is exemplified with three distinct models that show the robustness of the construction. In the third model, one finds analytical solutions that exhibit interesting compact vortex behavior.