Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model

Abstract

We have performed a complete study of self-dual configurations in a $CPT$-odd and Lorentz-violating gauged $O(3)$ nonlinear sigma model. We have consistently implemented the Bogomol'nyi-Prasad-Sommerfield (BPS) formalism and obtained the correspondent differential first-order equations describing electrically charged self-dual configurations. The total energy and magnetic flux of the vortices, besides being proportional to the winding number, also depend explicitly on the Lorentz-violating coefficients belonging to the sigma sector. The total electrical charge is proportional to the magnetic flux such as it occurs in Chern-Simons models. The Lorentz violation in the sigma sector allows one to interpolate between Lorentz-violating versions of some sigma models: the gauged $O(3)$ sigma model and the Maxwell-Chern-Simons $O(3)$ sigma model. The Lorentz violation enhances the amplitude of the magnetic field and BPS energy density near the origin, augmenting the deviation in relation to the solutions deprived of Lorentz violation.

two columns, 9 pages, final and revised version published in Physical Review D

References in corpus (19)

• Consistency of isotropic modified Maxwell theory: Microcausality and unitarity
• Limits on isotropic Lorentz violation in QED from collider physics
• New Bounds on Isotropic Lorentz Violation
• Causality and stability for Lorentz-CPT violating electrodynamics with dimension-5 operators
• The Photon Sector in the Quantum Myers-Pospelov Model: An improved description
• An investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations
• Information-Entropic for Travelling Solitons in Lorentz and CPT Breaking Systems
• A monopole solution in a Lorentz-violating field theory
• Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
• Traveling solitons in Lorentz-violating systems
• On Dirac-like Monopoles in a Lorentz- and CPT-violating Electrodynamics
• 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
• Renormalizability of Yang-Mills theory with Lorentz violation and gluon mass generation
• Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamics
• D-Oscillons in the Standard Model-Extension
• Lorentz-violating effects in three-dimensional $QED$
• Nonminimal Maxwell-Chern-Simons-O(3)-sigma vortices: asymmetric potential case

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• 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