Quantization of the Myers-Pospelov model: a progress report

The Myers-Pospelov (MP) model is an effective field theory, including dimension five operators, which describes the phenomenology of active Lorentz invariance violation produced by a preferred reference frame. We concentrate here in the case of the modified electrodynamics. The point of view taken in this work is that the Lorentz violating part of the action in the MP model, which includes higher order time derivative (HOTD) operators, is to be considered as a perturbation over the dynamics described by standard Electrodynamics, particularly in the quantum case. In order to cope with the challenges posed by HOTD theories it will be necessary to deal with a modified perturbation scheme which is well described in the literature. We apply such methods to this specific model providing a quantization of the free sector of the theory. The calculation of interacting processes, together with radiative corrections, is beyond the scope of the present article.