Lorentz-breaking Rarita-Schwinger model

In this paper, we formulate the simplest 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.

Automated summary

In this paper, we present the simplest Lorentz-breaking extension for the spin-3/2 field theory and couple it to the Abelian gauge field in a Lorentz violating manner. We then calculate the lower and higher-order quantum corrections, including the Carroll-Field-Jackiw (CFJ) term, which is superficially divergent but actually finite and ambiguous, and the lowest CPT-even Lorentz violating term involving the second order in the Lorentz violating vector.