Abstract
We reassess an alternative CPT-odd electrodynamics obtained from a Palatini-like procedure. Starting from a more general situation, we analyze the physical consistency of the model for different values of the parameter introduced in the mass tensor. We show that there is a residual gauge invariance in the model if the local transformation is taken to vary only in the direction of the Lorentz-breaking vector. This residual gauge invariance can be extended to all models whose only source of gauge symmetry breaking is such a mass term.
Highlights
It has been more than two decades that the investigation of Lorentz-violating models got the attention of the community of quantum field theory physicists
It is believed that the usual symmetries of special relativity will be broken in the limit of very high energy physics as an effect of quantum gravity issues [1,2,3,4,5]
We have showed that the Lorentz-breaking part of the mass tensor affects only one of the three modes of propagation of the gauge field
Summary
It has been more than two decades that the investigation of Lorentz-violating models got the attention of the community of quantum field theory physicists. It is believed that the usual symmetries of special relativity will be broken in the limit of very high energy physics as an effect of quantum gravity issues [1,2,3,4,5] This possibility was first discussed in the papers of Kostelecký and Samuel [1, 2], but it gained great dimension when Carroll, Field, and Jackiw proposed a modification of the classical electrodynamics by the inclusion of a Chern-Simons-like term in the photon sector [6].
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