Self-Dual Charged Vortices of Finite Energy per Unit Length in $3+1$ Dimensions

TL;DR

This paper presents new self-dual charged vortex solutions with finite energy in a 3+1 dimensional abelian Higgs model, deriving a Bogomol'nyi bound involving magnetic flux and electric charge.

Contribution

It introduces both topological and nontopological self-dual vortex solutions with finite energy in higher dimensions, extending the understanding of vortex configurations in gauge theories.

Findings

Existence of finite energy self-dual vortex solutions in 3+1 dimensions.

Derivation of a Bogomol'nyi bound combining magnetic flux and electric charge.

Identification of both topological and nontopological vortex solutions.

Abstract

We obtain both topological as well as nontopological self-dual charged vortex solutions of finite energy per unit length in a generalized abelian Higgs model in $3+1$ dimensions. In this model the Bogomol'nyi bound on the energy per unit length is obtained as a linear combination of the magnetic flux and the electric charge per unit length.