Anyons and the elliptic Calogero-Sutherland model
Mathematical Physics
2007-05-23 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
We obtain a second quantization of the elliptic Calogero-Sutherland (eCS) model 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 model. The eigenfunctions obtained define an elliptic generalization of the Jack polynomials.
Cite
@article{arxiv.math-ph/0007036,
title = {Anyons and the elliptic Calogero-Sutherland model},
author = {Edwin Langmann},
journal= {arXiv preprint arXiv:math-ph/0007036},
year = {2007}
}
Comments
13 pages; title changed; details added and some notational changes