q-Functional Field Theory for particles with exotic statistics

Details q-Functional Field Theory for particles with exotic statistics q-Functional Field Theory for particles with exotic statistics

1997-05-13

arxiv.org/abs/hep-th/9705086v1

Phys.Lett. A232 (1997) 399-408

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, LaTeX

Scientific paper

10.1016/S0375-9601(97)00402-7

In the paper we give consecutive description of functional methods of quantum field theory for systems of interacting q-particles. These particles obey exotic statistics and appear in many problems of condensed matter physics, magnetism and quantum optics. Motivated by the general ideas of standard field theory we derive formulae in q-functional derivatives for the partition function and Green's functions generating functional for systems of exotic particles. This leads to a corresponding perturbation series and a diagram technique. Results are illustrated by a consideration of an one-dimensional q-particle system and compared with some exact expressions obtained earlier.

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