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

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.