Extension of the spin-statistics theorem to nonlocal fields

Abstract

A new and more general derivation of the connection between spin and statistics that is applicable to nonlocal quantum fields with arbitrarily singular ultraviolet behavior is proposed. The derivation employs the concept of the analytical wave front of a distribution and makes it possible to characterize precisely the admissible degree of breakdown of locality for which there exists in the theory a Klein transformation which reduces the fields to normal commutation relations.