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.
In this paper the gauge embedding procedure of dualization is reassessed through a deeper analysis of the mutual equivalence of vector field models of more generic forms, explicitly, a general modified massive gauge-breaking extension of electrodynamics and its dual gauge-invariant model we derive in the paper. General relations between the vector field propagators and interaction terms of these models are obtained. Further, these models are shown to be equivalent at tree-level and one-loop physical calculations. Finally, we discuss extension of this equivalence to all loop orders.
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