Models for low-energy Lorentz violation in the photon sector: Addendum to 'Consistency of isotropic modified Maxwell theory'

TL;DR

This paper introduces models for low-energy Lorentz violation in photon theory, expanding previous work by including a model with a negative Lorentz-violating parameter, thus exploring both 'slow' and 'fast' photon scenarios.

Contribution

It presents a new physical model for isotropic modified Maxwell theory with a negative Lorentz-violating parameter, complementing earlier models with positive parameters.

Findings

Model with negative rkappa_{tr} for 'fast' photons

Both models share particle content but differ in spacetime manifold

Supports the consistency of Lorentz-violating photon theories

Abstract

In a previous article [arXiv:1011.4258], we established the consistency of isotropic modified Maxwell theory for a finite range of the Lorentz-violating parameter \tilde{kappa}_{tr}, which includes both positive and negative values of \tilde{kappa}_{tr}. As an aside, we mentioned the existence of a physical model which, for low-energy photons, gives rise to isotropic modified Maxwell theory with a positive parameter \tilde{kappa}_{tr} (corresponding to a "slow" photon). Here, we present a related model which gives rise to isotropic modified Maxwell theory with a negative parameter \tilde{kappa}_{tr} (corresponding to a "fast" photon). Both models have an identical particle content, photon and Dirac particles, but differ in the type of spacetime manifold considered.