Charged Tensor Matter Fields and Lorentz Symmetry Violation via Spontaneous Symmetry Breaking

TL;DR

This paper explores a model with charged vector and matter fields coupled to a U(1) gauge potential, demonstrating spontaneous symmetry breaking that results in Lorentz symmetry violation and identifying a Higgs-like Z' boson.

Contribution

It introduces a novel model combining charged vector and CSKR matter fields with spontaneous symmetry breaking leading to Lorentz violation and connects the Higgs-like field to mirror matter Z' bosons.

Findings

Lorentz symmetry is naturally violated via spontaneous symmetry breaking.

The excitation spectrum reveals physical modes, including a Higgs-like Z' boson.

Decoupling of gauge-KR and Higgs-KR sectors in the unitary gauge.

Abstract

We consider a model with a charged vector field along with a Cremmer-Scherk-Kalb-Ramond (CSKR) matter field coupled to a U(1) gauge potential. We obtain a natural Lorentz symmetry violation due to the local U(1) spontaneous symmetry breaking mechanism triggered by the imaginary part of the vector matter. The choice of the unitary gauge leads to the decoupling of the gauge-KR sector from the Higgs-KR sector. The excitation spectrum is carefully analyzed and the physical modes are identified. We propose an identification of the neutral massive spin-1 Higgs-like field with the massive Z' boson of the so-called mirror matter models.