A consequence of applying the generalized permutation relations in quantum theory of interacting fields

In this paper, we examine a generalization of the permutation relations, used In quantum theory of fields, which ensure satisfaction of the basic physical requirements imposed on the interaction matrix in the case being examined. In this generalization, the cross section for scattering of a vector massless particle by a spinor particle is calculated. It is shown that here, in particular, the probability for the appearance of unphysical ("time-like" and "longitudinal") vector particles as a result of scattering may be made to vanish. © 1982 Plenum Publishing Corporation.