Probabilities and Path-Integral Realization of Exclusion Statistics

Details Probabilities and Path-Integral Realization of Exclusion Statistics Probabilities and Path-Integral Realization of Exclusion Statistics

1995-03-11

arxiv.org/abs/hep-th/9503077v1

Phys.Lett. B365 (1996) 202

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, phyzzx.tex, no figures

Scientific paper

10.1016/0370-2693(95)01302-4

A microscopic formulation of Haldane's exclusions statistics is given in terms of a priori occupation probabilities of states. It is shown that negative probabilities are always necessary to reproduce fractional statistics. Based on this formulation, a path-integral realization for systems with exclusion statistics is derived. This has the advantage of being generalizable to interacting systems, and can be used as the starting point for further generalizations of statistics. As a byproduct, the vanishing of the heat capacity at zero temperature for exclusion statistics systems is proved.

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