Reality and causality in quantum gravity modified electrodynamics

Details Reality and causality in quantum gravity modified electrodynamics Reality and causality in quantum gravity modified electrodynamics

2005-11-21

arxiv.org/abs/gr-qc/0511117v3

Phys.Rev. D74 (2006) 065020

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, LaTex, minor changes to clarify some points, version accepted for publication

Scientific paper

10.1103/PhysRevD.74.065020

We present a general description of the propagation properties of quantum gravity modified electrodynamics characterized by constitutive relations up to second order in the correction parameter. The effective description corresponds to an electrodynamics in a dispersive and absorptive non-local medium, where the Green functions and the refraction indices can be explicitly calculated. The reality of the electromagnetic field together with the requirement of causal propagation in a given referrence frame leads to restrictions in the form of such refraction indices. In particular, absorption must be present in all cases and, contrary to the usual assumption, it is the dominant aspect in those effective models which exhibit linear effects in the correction parameter not related to birefringence. In such a situation absorption is linear while propagation is quadratical in the correction parameter.

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