Dual embedding of extended models with a Lorentz-breaking mass term

TL;DR

This paper explores a Lorentz-violating mass term in a CPT-even model, analyzing its physical properties, potential superluminal modes, and establishing a gauge-invariant dual theory using the Noether Dualization Method.

Contribution

It introduces a novel Lorentz-violating mass term, studies its physical consistency, and constructs a gauge-invariant dual model, expanding understanding of Lorentz-breaking gauge theories.

Findings

Identification of superluminal propagation modes

Establishment of physical equivalence between models

Development of a gauge-invariant dual theory

Abstract

In this paper, we investigate a CPT-even model with a Lorentz-violating mass term. Such kind of models may present very interesting features like superluminal modes of propagation or even instantaneous long-range interactions. The mass term we investigate can be induced at classical or quantum level in a scenario with spontaneous gauge symmetry breaking in a gauge-Higgs model without Lorentz symmetry. We analyze the physical consistency of the model by studying the poles of the propagator. By using the Noether Dualization Method (NDM), we obtain a gauge invariant dual theory for this model. The physical equivalence between the two models is investigated and a general relation between the two propagators is obtained.