Finite quantum field theory based on superspin fields.

Abstract

A field-theory formalism based on a free superspin field, which has an internal degree of infinite spin, is developed using perturbation theory. Interaction Lagrangians are constructed and ultraviolet-finite theories are obtained in four-dimensional spacetime. The finite property of the graphs, unitarity of the S matrix, and microscopic causality are demonstrated for a g${\ensuremath{\Phi}}^{4}$ model for the interaction Lagrangian. A definition of locality of the fields is given that extends the concept of the local commutativity of strictly localizable fields and a formalism for massless superspin particles is presented.