An investigation of the $K_{F}$-type Lorentz-Symmetry Breaking Gauge Models with Vortex-like Configurations

TL;DR

This paper analyzes Lorentz-symmetry breaking gauge models with vortex configurations, focusing on causality, unitarity, and conditions for vortex formation within the Standard Model Extension framework.

Contribution

It introduces a specific decomposition of the Lorentz-violating tensor and examines its implications for vortex solutions and fundamental consistency conditions.

Findings

Conditions on tensor decomposition for causality and unitarity

Identification of vortex formation scenarios

Constraints on Lorentz-violating parameters

Abstract

For the CPT-even case of the minimal Standard Model Extension, the spin-projector method is adopted to account for the breaking (tensor) $% K_{\mu \nu \kappa \lambda}$ 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.