Real and virtual photons in an external constant electromagnetic field of most general form Anatoly E. Shabad 1 and Vladimir V. Usov 2 1 P.N. Lebedev Physics Institute, Moscow 117924, Russia $^{2}$Center for Astrophysics, Weizmann Institute, Rehovot 76100, Israel 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 kinematical conditions – occur due to space-time symmetries of the vacuum left after the external field is imposed. PACS numbers: 14.70.Bh, 11.55.Fv, 41.20.Jb, 12.20.Ds 1 arXiv:1002.1813v1 [hep-th] 9 Feb 2010 Abstract