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.

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

References in corpus (3)

• Paragrassmann Analysis and Quantum Groups
• Gauge theories of quantum groups
• Non-commutative quantum dynamics

Cited by in corpus (6)

• Generalized Grassmannian Coherent States For Pseudo-Hermitian $n$ Level Systems
• Para-Grassmannian Coherent and Squeezed States for Pseudo-Hermitian q-Oscillator and their Entanglement
• Para-Grassmann Variables and Coherent States
• Entanglement of Grassmannian Coherent States for Multi-Partite n-Level Systems
• Generalized Grassmann variables for quantum kit (k-level) systems and Barut-Girardello coherent states for su(r+1) algebras
• A quantum field algebra