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

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.

Comments: Latex, 32 pages; v2 has corrected mode counting and many edits, v3 has minor edits, v4 has additions to the end of Sec. 2 and to item 4. in Sec. 14