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arXiv · hep-th/9704181

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

K. N. Ilinski·G. V. Kalinin·A. S. Stepanenko
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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.

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K. N. Ilinski, G. V. Kalinin, A. S. Stepanenko. 1997-04-25. q-Functional Wick's theorems for particles with exotic statistics. https://doi.org/10.1088/0305-4470%2F30%2F15%2F016

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