Quantum field theory of orthofermions and orthobosons

Abstract

We construct the quantum field theory of particles obeying new kinds of quantum statistics, called orthofermi and orthobose statistics. For the orthofermions (orthobosons), the wave function is antisymmetric (symmetric) in one set of indices while no particular symmetry is required for the other set of indices. Nonrelativistic as well as relativistic quantum Held theories with interaction are constructed.