Non-Abelian Carroll-Field-Jackiw term term in a Rarita-Schwinger model

TL;DR

This paper investigates the generation of a non-Abelian Carroll-Field-Jackiw term in a gauge theory with spin-3/2 fields, showing its finiteness and ambiguity depending on the regularization scheme used.

Contribution

It demonstrates the possibility of generating a non-Abelian CFJ term in a spin-3/2 coupled gauge theory and analyzes its regularization-dependent properties.

Findings

The non-Abelian CFJ term can be generated in the model.

The term is finite but ambiguous, depending on the regularization scheme.

It vanishes in the 't Hooft-Veltman scheme.

Abstract

In this paper, we demonstrate the possibility of generating a non-Abelian Carroll-Field-Jackiw (CFJ) term in the theory of a non-Abelian gauge field coupled to a spin-3/2 field in the presence of the constant axial vector field. Applying two regularization schemes, we prove that this term is finite and ambiguous, particularly vanishing within the 't Hooft-Veltman scheme.