Anyons and the elliptic Calogero-Sutherland model

Details Anyons and the elliptic Calogero-Sutherland model Anyons and the elliptic Calogero-Sutherland model

2000-07-27

arxiv.org/abs/math-ph/0007036v2

Lett.Math.Phys. 54 (2000) 279-289

Physics

Mathematical Physics

13 pages; title changed; details added and some notational changes

Scientific paper

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.

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