A note on vortices from Lorentz-violating models

Abstract

We consider two self-dual abelian Higgs systems obtained from Lorentz breaking symmetry models by dimensional reduction. For the first model, we show that the self-dual equations are identical to those of Nielsen-Olesen vortices. Also, we show that our vortices have electric charge. In the second case we show that self-dual Chern-Simons-Higgs vortices without electric charge are possible.

10 pages

References in corpus (5)

• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• A monopole solution in a Lorentz-violating field theory
• Dynamical Lorentz symmetry breaking and topological defects
• Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
• Self-dual Maxwell-Chern-Simons solitons from a Lorentz-violating model

Cited by in corpus (6)

• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamics
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms