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

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.

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Cited by in corpus (6)

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• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• First-order vortices in a gauged $CP(2)$ model with a Chern-Simons term
• Nontopological first-order vortices in a gauged $CP(2)$ model with a dielectric function