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

Abstract

We have studied the existence of topological self-dual configurations in a nonminimal CPT-odd and Lorentzviolating (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.

A General Method for Transforming Nonphysical Configurations in BPS States

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Lorentz Violation and Topologically Trapped Fermions in 2+1 Dimensions

“…[] and references therein). In particular, some works have explored topological defects in the presence of LSV . For instance, we can find investigations using monopole and vortices, in a gauged O (3) sigma model, on topological defects generated by two real scalar fields, in the propagation of electromagnetic waves, and in traveling solitons systems …”

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