q-Functional Wick's theorems for particles with exotic statistics

Details q-Functional Wick's theorems for particles with exotic statistics q-Functional Wick's theorems for particles with exotic statistics

1997-04-25

arxiv.org/abs/hep-th/9704181v1

J.Phys.A30:5299-5310,1997

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, LaTeX, submitted to J.Phys.A

Scientific paper

10.1088/0305-4470/30/15/016

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.

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