Free field structure of the model with a spin-32 Rarita-Schwinger field directly coupled to a spin-12 field
Abstract
In earlier work we introduced an abelianized gauge field model in which a Rarita-Schwinger field is directly coupled to a spin-12 field, and showed that this model admits a perturbative expansion in the gauge field coupling. As a preliminary to further study of the coupled model, in this paper we present a detailed analysis of the free field structure that obtains when the dimensionless gauge coupling is set to zero, but the dimension one coupling of the spin-32 and spin-12 fields remains nonzero.
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