Lorentz-breaking Rarita-Schwinger model

TL;DR

This paper develops a Lorentz-violating extension of the spin-3/2 Rarita-Schwinger field theory coupled to gauge fields, analyzing quantum corrections like the CFJ and aether terms, revealing finite but ambiguous results.

Contribution

It introduces a novel Lorentz-breaking extension for the spin-3/2 field and computes associated quantum corrections, including the CFJ and aether terms.

Findings

The CFJ term is finite but ambiguous.

Higher-derivative CFJ term is calculated.

The aether term involving second order LV vector is derived.

Abstract

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.