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.

arXiv commentLaTex2e pages

References in corpus (31)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• High-Energy Tests of Lorentz Invariance
• Signals for Lorentz Violation in Electrodynamics
• Cosmological Constraints on Lorentz Violation in Electrodynamics
• Self-Dual Chern-Simons Theories
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• New two-sided bound on the isotropic Lorentz-violating parameter of modified Maxwell theory
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Addendum: Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Monopoles, Vortices, Domain Walls and D-Branes: The Rules of Interaction
• Vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons theory
• Defect Structures in Lorentz and CPT Violating Scenarios
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• Microscopic Derivation of the Ginzburg-Landau Equations for a d-wave Superconductor
• A monopole solution in a Lorentz-violating field theory
• Lorentz-violating effects on topological defects generated by two real scalar fields
• Traveling solitons in Lorentz-violating systems
• Non-Abelian Chern-Simons Vortices
• On Dirac-like Monopoles in a Lorentz- and CPT-violating Electrodynamics
• A Lorentz-violating SO(3) model: discussing the unitarity, causality and the 't Hooft-Polyakov monopoles
• Dynamical Lorentz symmetry breaking and topological defects
• Two field BPS solutions for generalized Lorentz breaking models
• Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
• Bogomol'nyi Equations of Maxwell-Chern-Simons vortices from a generalized Abelian Higgs Model
• A Note on Chern-Simons Solitons - a type III vortex from the wall vortex
• Uncharged compactlike and fractional Lorentz-violating BPS vortices in the CPT-even sector of the standard model extension
• Bogomol'nyi equations for solitons in Maxwell-Chern-Simons gauge theories with the magnetic moment interaction term
• Self-dual Maxwell-Chern-Simons solitons from a Lorentz-violating model
• A note on vortices from Lorentz-violating models

Cited by in corpus (14)

• Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Phase transitions in the logarithmic Maxwell O(3)-sigma model
• Topological first-order vortices in a gauged CP(2) model
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Non-orthogonality and $\kappa$-dependence eccentricity of polarized electromagnetic waves in CPT-even Lorentz violation
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Topological self-dual configurations in a Maxwell--Higgs model with a CPT-odd and Lorentz-violating nonminimal coupling
• First-order vortices in a gauged $CP(2)$ model with a Chern-Simons term
• Lorentz-violating nonminimal coupling contributions in mesonic hydrogen atoms and generation of photon higher-order derivative terms
• Nontopological first-order vortices in a gauged $CP(2)$ model with a dielectric function
• Topological first-order solitons in a gauged $CP(2)$ model with the Maxwell-Chern-Simons action
• Nontopological first-order vortices in a gauged $CP(2)$ theory endowed with the Chern-Simons action
• One-loop contributions in Lorentz-violating scalar QED with nonminimal coupling