Anyons and the elliptic Calogero-Sutherland model

Authors
Citation
E. Langmann, Anyons and the elliptic Calogero-Sutherland model, LETT MATH P, 54(4), 2000, pp. 279-289
Citations number
36
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
54
Issue
4
Year of publication
2000
Pages
279 - 289
Database
ISI
SICI code
0377-9017(200012)54:4<279:AATECM>2.0.ZU;2-Y
Abstract
We obtain a second quantization of the elliptic Calogero-Sutherland (eCS) m odel by constructing a quantum field theory model of anyons on a circle and at a finite temperature. This yields a remarkable identity involving anyon correlation functions and providing an algorithm for solving of the eCS mo del. The eigenfunctions obtained define an elliptic generalization of the J ack polynomials.