Analysis of a gauged model with a spin-$\frac{1}{2}$ field directly coupled to a Rarita-Schwinger spin-$\frac{3}{2}$ field

TL;DR

This paper analyzes a gauge field model coupling a spin-1/2 field directly to a Rarita-Schwinger spin-3/2 field, calculating the chiral anomaly through perturbative expansion and Feynman rules.

Contribution

It provides a detailed perturbative analysis of a coupled spin-1/2 and spin-3/2 gauge model, including anomaly computation.

Findings

Calculated the chiral anomaly for the model.

Demonstrated the model's perturbative expansion in gauge coupling.

Provided Feynman rules for the coupled system.

Abstract

We give a detailed analysis of an abelianized gauge field model in which a Rarita-Schwinger spin-$\frac{3}{2}$ field is directly coupled to a spin-$\frac{1}{2}$ field. The model permits a perturbative expansion in powers of the gauge field coupling, and from the Feynman rules for the model we calculate the chiral anomaly.