Phenomenological description of quantum gravity inspired modified classical electrodynamics

Details Phenomenological description of quantum gravity inspired modified classical electrodynamics Phenomenological description of quantum gravity inspired modified classical electrodynamics

2006-09-18

arxiv.org/abs/gr-qc/0609063v2

Gen.Rel.Grav.39:1157-1174,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, to be published in Obregon Festschrift 2006, Gen. Rel. and Grav

Scientific paper

10.1007/s10714-007-0461-z

We discuss a large class of phenomenological models incorporating quantum gravity motivated corrections to electrodynamics. The framework is that of electrodynamics in a birefringent and dispersive medium with non-local constitutive relations, which are considered up to second order in the inverse of the energy characterizing the quantum gravity scale. The energy-momentum tensor, Green functions and frequency dependent refraction indices are obtained, leading to departures from standard physics. The effective character of the theory is also emphasized by introducing a frequency cutoff. The analysis of its effects upon the standard notion of causality is performed, showing that in the radiation regime the expected corrections get further suppressed by highly oscillating terms, thus forbiding causality violations to show up in the corresponding observational effects.

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