Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling

TL;DR

This paper explores topological self-dual vortex solutions in a modified Maxwell-Higgs model incorporating CPT-odd and Lorentz-violating terms, revealing unique properties and behaviors influenced by the LV parameter.

Contribution

It introduces a novel Lorentz-violating interaction in the Maxwell-Higgs model and derives self-dual equations showing new vortex behaviors and energy profiles.

Findings

Self-dual configurations are electrically neutral with energy proportional to magnetic flux.

Vortex profiles resemble Abrikosov-Nielsen-Olesen vortices at large distances.

Magnetic field and energy profiles vary significantly within the vortex core depending on the LV parameter.

Abstract

We have studied the existence of topological self-dual configurations in a nonminimal CPT-odd and Lorentz-violating (LV) Maxwell-Higgs model, where the LV interaction is introduced by modifying the minimal covariant derivative. The Bogomol'nyi-Prasad-Sommerfield formalism has been implemented, revealing that the scalar self-interaction implying self-dual equations contains a derivative coupling. The CPT-odd self-dual equations describe electrically neutral configurations with finite total energy proportional to the total magnetic flux, which differ from the charged solutions of other CPT-odd and LV models previously studied. In particular, we have investigated the axially symmetrical self-dual vortex solutions altered by the LV parameter. For large distances, the profiles possess general behavior similar to the vortices of Abrikosov-Nielsen-Olesen. However, within the vortex core, the profiles of the magnetic field and energy can differ substantially from ones of the Maxwell-Higgs model depending if the LV parameter is negative or positive.