Aspects of Causality and Unitarity and Comments on Vortex-like Configurations in an Abelian Model with a Lorentz-Breaking Term

TL;DR

This paper reevaluates a Lorentz- and CPT-breaking Chern-Simons term in an Abelian gauge model, analyzing causality, unitarity, symmetry breaking, and vortex formation using a spin-projector method to establish consistency conditions.

Contribution

It introduces a spin-projector approach to study causality and unitarity in Lorentz-breaking gauge theories, providing new insights into vortex configurations and consistency constraints.

Findings

Identified conditions for causality and unitarity in the model

Analyzed vortex-like solutions in the presence of Lorentz-breaking terms

Established constraints on the external vector parameter

Abstract

The gauge-invariant Chern-Simons-type Lorentz- and CPT-breaking term is here reassessed and a spin-projector method is adopted to account for the breaking (vector) parameter. Issues like causality, unitarity, spontaneous gauge-symmetry breaking and vortex formation are investigated, and consistency conditions on the external vector are identified.