Remarks on Charged Vortices in the Maxwell-Chern-Simons Model

TL;DR

This paper investigates vortex configurations in Maxwell-Chern-Simons electrodynamics, highlighting their similarities to Nielsen-Olesen solutions, magnetic symmetries, and the Aharonov-Casher phase dependence on particle parameters.

Contribution

It provides new insights into vortex structures, magnetic symmetries, and phase effects in Maxwell-Chern-Simons theory, extending understanding of charged vortices and their interactions.

Findings

Vortex configurations resemble Nielsen-Olesen solutions at large distances.

A magnetic symmetry between point-like and azimuthal currents is identified.

The Aharonov-Casher phase depends on particle mass and distance parameters.

Abstract

We study vortex-like configuration in Maxwell-Chern-Simons Electrodynamics. Attention is paid to the similarity it shares with the Nielsen-Olesen solutions at large distances. A magnetic symmetry between a point-like and an azimuthal-like current in this framework is also pointed out. Furthermore, we address the issue of a neutral and spinless particle interacting with a charged vortex, and obtain that the Aharonov-Casher-type phase depends upon mass and distance parameters.