Solitons and fractional statistics

TL;DR

This paper derives solitons in the Calogero model as one-particle excitations and develops a statistical mechanics framework for exclusion statistics particles using path integrals.

Contribution

It introduces a novel derivation of solitons in the Calogero model and formulates their exclusion statistics in a path integral framework.

Findings

Solitons correspond to one-particle excitations in the Calogero model

Formulation of exclusion statistics using a priori probabilities

Construction of a path integral for exclusion statistics particles

Abstract

Solitons in the continuum limit of the Calogero model are derived and shown to correspond to one-particle excitations. The statistical mechanics of exclusion statistics particles is then formulated in terms of a priori probabilities and a path integral is thereoff constructed. (Talk delivered at the Trieste April 1995 Conference on statistical mechanics and QFT and at the Oslo August 1995 Worskhop on low-dimensional systems.)