Real and virtual photons in an external constant electromagnetic field of most general form

TL;DR

This paper analyzes photon behavior in general constant electromagnetic fields, deriving model-independent insights on dispersion, polarization, and birefringence effects, including magneto-electric phenomena and symmetry-induced degeneracies.

Contribution

It provides the most general, principle-based analysis of photon dispersion and polarization in combined electric and magnetic fields, revealing new effects and symmetry properties.

Findings

Electric field addition enhances birefringence.

Magnetic field from a distant charge demonstrates magneto-electric effects.

Polarization tensor degeneracies relate to space-time symmetries.

Abstract

The photon behavior in an arbitrary superposition of constant magnetic and electric fields is considered on most general grounds basing on the first principles like Lorentz- gauge- charge- and parity-invariance. We make model- and approximation-independent, but still rather informative, statements about the behavior that the requirement of causal propagation prescribes to massive and massless branches of dispersion curves, and describe the way the eigenmodes are polarized. We find, as a consequence of Hermiticity in the transparency domain, that adding a smaller electric field to a strong magnetic field in parallel to the latter causes enhancement of birefringence. We find the magnetic field produced by a point electric charge far from it (a manifestation of magneto-electric phenomenon). We establish degeneracies of the polarization tensor that (under special kinematic conditions) occur due to space-time symmetries of the vacuum left after the external field is imposed.