q-Functional Wick's theorems for particles with exotic statistics
Abstract
In the paper we begin a description of functional methods of quantum field theory for systems of interacting q-particles. These particles obey exotic statistics and are the q-generalization of the colored particles which appear in many problems of condensed matter physics, magnetism and quantum optics. Motivated by the general ideas of standard field theory we prove the q-functional analogues of Hori's formulation of Wick's theorems for the different ordered q-particle creation and annihilation operators. The formulae have the same formal expressions as fermionic and bosonic ones but differ by a nature of fields. This allows us to derive the perturbation series for the theory and develop analogues of standard quantum field theory constructions in q-functional form.
Cite
@article{arxiv.hep-th/9704181,
title = {q-Functional Wick's theorems for particles with exotic statistics},
author = {K. N. Ilinski and G. V. Kalinin and A. S. Stepanenko},
journal= {arXiv preprint arXiv:hep-th/9704181},
year = {2016}
}
Comments
15 pages, LaTeX, submitted to J.Phys.A