Vortices in Maxwell-Higgs models with a global factor

TL;DR

This paper investigates planar vortices in a generalized Maxwell-Higgs model with a scalar-dependent global factor, revealing novel features like finite energy configurations with infinite energy density at the origin and parameter-dependent energy modifications.

Contribution

It introduces a first order framework for vortices in a generalized model with a scalar-dependent global factor, highlighting unique properties and constraints.

Findings

Finite energy configurations with infinite energy density at the origin

Presence of parameters that modify energy without changing solutions

Modified first order equations due to constraints

Abstract

This paper deals with planar vortices in a generalized model that presents a global factor which depends on the scalar field in the Nielsen-Olesen Lagrange density. We show that the system supports a first order framework. Contrary to what occurs with kinks in the line, planar vortices require the presence of constraints that brings modifications into the first order equations. Novel features are unveiled, such as finite energy configurations with infinite energy density at the origin and the presence of parameters that modifies the energy, keeping the solutions unchanged.