A generalized photon propagator
Yakov Itin (Institute of Mathematics, Hebrew University of Jerusalem)

TL;DR
This paper derives a covariant, gauge-independent generalized photon propagator in media with linear constitutive laws, extending the standard electromagnetic theory and light cone structure.
Contribution
It introduces a generalized photon propagator applicable to media with local, linear constitutive laws, extending standard electromagnetic propagator concepts.
Findings
Derivation of a covariant, gauge-independent dispersion relation.
Reinstatement of the standard light cone and Feynman propagator for Maxwell media.
Extension of photon propagator theory to media with linear constitutive laws.
Abstract
A covariant gauge independent derivation of the generalized dispersion relation of electromagnetic waves in a medium with local and linear constitutive law is presented. A generalized photon propagator is derived. For Maxwell constitutive tensor, the standard light cone structure and the standard Feynman propagator are reinstated.
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