On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background
arXiv:hep-th/0604164 · doi:10.1016/j.physletb.2006.06.075
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.
10 pages, revised for publication in Phys.Lett. B