Probabilities and Path-Integral Realization of Exclusion Statistics
High Energy Physics - Theory
2016-09-06 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9503077,
title = {Probabilities and Path-Integral Realization of Exclusion Statistics},
author = {Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/9503077},
year = {2016}
}
Comments
10 pages, phyzzx.tex, no figures