In this paper, we formulate the Lorentz-breaking extension for the spin-3/2 field theory and couple it to the Abelian gauge field in a Lorentz violating (LV) manner. Next, we calculate the lower LV quantum corrections, that is, the Carroll-Field-Jackiw (CFJ) term, which, being superficially divergent, turns out to be finite but ambiguous, and also the higher-derivative CFJ term. Besides, we compute the aether term, being the lowest CPT-even LV term, involving the second order in the LV vector.
@article{arxiv.2211.12414,
title = {Lorentz-breaking Rarita-Schwinger model},
author = {M. Gomes and T. Mariz and J. R. Nascimento and A. Yu. Petrov},
journal= {arXiv preprint arXiv:2211.12414},
year = {2023}
}