Physics – Mathematical Physics
Scientific paper
2001-02-07
Commun.Math.Phys. 247 (2004) 321-351
Physics
Mathematical Physics
36 pages
Scientific paper
10.1007/s00220-004-1077-8
We use loop group techniques to construct a quantum field theory model of anyons on a circle and at finite temperature. We find an anyon Hamiltonian providing a second quantization of the elliptic Calogero-Sutherland model. This allows us to prove a remarkable identity which is a starting point for an algorithm to construct eigenfunctions and eigenvalues of the elliptic Calogero-Sutherland Hamiltonian (this algorithm is elaborated elsewhere). This paper contains a detailed introduction, technical details and proofs.
Langmann Edwin
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