Massive fermions in 2+1 dimensions

Abstract

We construct the higher-spin massive fermionic fields in 2+1 dimensions. Their field equations and propagators are derived from first principle. For fields with j>1/2, complications arise from the non-linear behaviour of the boost operators. We find that for a spin-three-half field, the non-linearity have an underlying structure that guarantees the locality of the fields and the existence of covariant propagators. We conjecture that this structure exists for fields of all spin.