Q-FUNCTIONAL WICK THEOREMS FOR PARTICLES WITH EXOTIC STATISTICS

In this paper we begin by giving a description of functional methods o f quantum field theory for systems of interacting q-particles. These p articles obey exotic statistics and are the q-generalization of the co loured panicles which appear in many problems of condensed matter phys ics, magnetism and quantum optics. Motivated by the general ideas of s tandard field theory we prove the q-functional analogues of Hori's for mulation of Wick's theorems for the different ordered q-particle creat ion and annihilation operators. The formulae have the same formal expr essions as fermionic and bosonic ones but differ by the nature of fiel ds. This allows us to derive the perturbation series for the theory an d develop analogues of standard quantum field theory constructions in q-functional form.