An investigation of the $K_F$-type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations

Abstract

For the CPT-even case of the minimal Standard Model Extension, the spin-projector method is adopted to account for the breaking (tensor) term. We adopt a particular decomposition of this term in fourvectors, and carry out a detailed analysis of causality and unitarity. From this study, we are able to impose conditions on the decomposition of the $K_{\mu \nu \kappa \lambda }$ and vortex formation is also investigated in different situations.

15 pages, no figures. arXiv admin note: text overlap with arXiv:hep-th/0204232

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• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Coulomb-type interaction under Lorentz symmetry breaking effects
• Effects of linear Central potential induced by Lorentz symmetry breaking on a generalized Klein-Gordon Oscillator
• Effects of Lorentz Symmetry Violation on a Relativistic Scalar Particle in Quantum Systems
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Dual embedding of extended models with a Lorentz-breaking mass term
• Aspects of the gauge boson-gaugino mixing in a supersymmetric scenario with Lorentz-symmetry violation
• Effects of Lorentz Symmetry Breaking Environment on Generalized Relativistic Quantum Oscillator Field