Consistency analysis of a nonbirefringent Lorentz-violating planar model

TL;DR

This paper examines the physical consistency of a nonbirefringent Lorentz-violating planar model, analyzing its propagator poles to determine stability, causality, and unitarity, and explores vortex solutions within the model.

Contribution

It provides a detailed pole structure analysis of the Lorentz-violating planar model derived from the standard model extension, revealing stability, causality, and unitarity conditions.

Findings

Isotropic sector is stable, causal, and unitary for 0≤κ₀₀<1.

Anisotropic sector is stable and unitary but generally noncausal.

Supports vortex configurations with a λ|φ|⁴-Higgs interaction.

Abstract

In this work analyze the physical consistency of a nonbirefringent Lorentz-violating planar model via the analysis of the pole structure of its Feynman propagators. The nonbirefringent planar model, obtained from the dimensional reduction of the CPT-even gauge sector of the standard model extension, is composed of a gauge and a scalar fields, being affected by Lorentz-violating (LIV) coefficients encoded in the symmetric tensor $\kappa_{\mu\nu}$. The propagator of the gauge field is explicitly evaluated and expressed in terms of linear independent symmetric tensors, presenting only one physical mode. The same holds for the scalar propagator. A consistency analysis is performed based on the poles of the propagators. The isotropic parity-even sector is stable, causal and unitary mode for $0\leq\kappa_{00}<1$. On the other hand, the anisotropic sector is stable and unitary but in general noncausal. Finally, it is shown that this planar model interacting with a $\lambda|\varphi|^{4}-$Higgs field supports compactlike vortex configurations.