Photon propagator in skewon electrodynamics

TL;DR

This paper derives the photon propagator in a modified electrodynamics framework that includes skewon fields, revealing how Lorentz-violating modifications alter electromagnetic propagation.

Contribution

It provides a new explicit expression for the photon propagator in skewon electrodynamics, expanding understanding of Lorentz-violating models.

Findings

Modified Coulomb law for small skewon fields

Explicit photon propagator expression in skewon electrodynamics

Insights into Lorentz-violating effects on electrodynamics

Abstract

Electrodynamics with a local and linear constitutive law is used as a framework for models violating Lorentz covariance. The constitutive tensor of such a construction is irreducibly decomposed into three independent pieces. The principal part is the anisotropic generalisation of the standard electrodynamics. The two other parts, axion and skewon, represent non-classical modifications of electrodynamics. We derive the expression for the photon propagator in the Minkowski spacetime endowed with a skewon field. For a relatively small (antisymmetric) skewon field, a modified Coulom law is exhibited.