Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamics

TL;DR

This paper studies BPS vortex solutions in a Lorentz-violating extension of the Maxwell-Higgs model, revealing how Lorentz violation influences vortex properties, charge distributions, and boundary conditions, unifying several known models.

Contribution

It introduces a Lorentz-violating Higgs sector in the Maxwell-Higgs model, analyzing its effects on vortex solutions and connecting various well-known models through Lorentz violation.

Findings

Lorentz violation modifies vortex ansatz and boundary conditions.

Electric charge distribution is non-zero in both CPT-even and CPT-odd models.

Magnetic flux depends on the winding number and Lorentz violation parameters.

Abstract

We have performed a complete study of BPS vortex solutions in the Abelian sector of the standard model extension (SME). Specifically, we have coupled the SME electromagnetism with a Higgs field which is supplemented with a Lorentz-violating CPT-even term. We have verified that Lorentz violation (LV) belonging to the Higgs sector allows to interpolate between some well known models like, Maxwell-Higgs, Chern-Simons-Higgs and Maxwell-Chern-Simons-Higgs. We can also observed that the electrical charged density distribution is nonnull in both CPT-even and CPT-odd models; however, the total electric charge in the CPT-even case is null, whereas in the CPT-odd one it is proportional to the quantized magnetic flux. The following general results can be established in relation to the LV introduced in the Higgs sector: it changes the vortex ansatz and the gauge field boundary conditions. A direct consequence is that the magnetic flux, besides being proportional to the winding number, also depends explicitly on the Lorentz-violation belonging to the Higgs sector.