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On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background

J. Alfaro·A. A. Andrianov·M. Cambiaso·P. Giacconi·R. Soldati
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Abstract

We show for the first time that the induced parity--even Lorentz invariance violation can be unambiguously calculated in the physically justified and minimally broken dimensional regularization scheme, suitably tailored for a spontaneous Lorentz symmetry breaking in a field theory model. The quantization of the Lorentz invariance violating quantum electrodynamics is critically examined and shown to be consistent either for a light--like cosmic anisotropy axial--vector or for a time--like one, when in the presence of a bare photon mass.

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J. Alfaro, A. A. Andrianov, M. Cambiaso, P. Giacconi, R. Soldati. 2006-07-01. On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background. https://doi.org/10.1016/j.physletb.2006.06.075

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