Vortex Dynamics in Selfdual Maxwell-Higgs Systems with Uniform Background Electric Charge Density

TL;DR

This paper explores vortex solutions in Maxwell-Higgs systems with a uniform background electric charge, revealing their properties, dynamics, and the applicability of the spin-statistics theorem.

Contribution

It introduces a novel formulation of selfdual Maxwell-Higgs systems with background charge and analyzes vortex dynamics and spin characteristics.

Findings

Vortices carry no spin but experience Magnus force.

Selfdual equations reduce to Bogomol'nyi equations without background.

Spin-statistics theorem applies to these vortices.

Abstract

We introduce selfdual Maxwell-Higgs systems with uniform background electric charge density and show that the selfdual equations satisfied by topological vortices can be reduced to the original Bogomol'nyi equations without any background. These vortices are shown to carry no spin but to feel the Magnus force due to the shielding charge carried by the Higgs field. We also study the dynamics of slowly moving vortices and show that the spin-statistics theorem holds to our vortices.