Vortices in U(1) Noncommutative Gauge Fields

TL;DR

This paper investigates vortex solutions in a noncommutative gauge theory, revealing how noncommutativity affects their stability and induces a non-topological charge, with implications for understanding gauge field configurations.

Contribution

It presents explicit charged vortex solutions in a 3+1 dimensional noncommutative Maxwell-Higgs model and analyzes how noncommutativity influences their stability and charge properties.

Findings

Vortex solutions are explicitly constructed in the noncommutative setting.

Stability of vortices decreases with increasing noncommutativity parameter.

Noncommutative effects induce a non-topological charge in the solutions.

Abstract

Charged vortex solutions for noncommutative Maxwell-Higgs model in 3+1 dimensions are found. We show that the stability of these vortex solutions is spoiled out for some, large enough, noncommutativity parameter. A non topological charge, however, is induced by noncommutative effects.