A note on the minimally coupled Bhabha field

The Bhabha field with multimass and maximum spin S, a system transforming reducibly under a representation of the homogenous Lorentz group is considered. The field is quantized in the presence of a minimally coupled electromagnetic field. The relation $\text{ψ(x)=ψ(}\text{x}\text{σ}\text{)}$ does not hold for the case of S integer contrary to the half-integer S or lower spin (S<) case, but the usual difficulties of high spin field theories seem to be absent. The propagation of the interacting (classical) equations is casual, since their principal part is unaffected by the introduction of an interaction, analogous to the lower spin case. This good nature of the Bhabha field equations appears due to the absence of secondary constraints. This is further supported with a similar example of a vector-spinor field.