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arXiv:hep-th/9604009

The extended conformal theory of the Calogero-Sutherland model

Raffaele Caracciolo, M. Frau, Alberto Lerda A, S. SCIUTO, Guillermo R. Zemba

Published Apr 2, 1996• 0 citations
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Abstract

We describe the recently introduced method of Algebraic Bosonization of (1+1)-dimensional fermionic systems by discussing the specific case of the Calogero-Sutherland model. A comparison with the Bethe Ansatz results is also presented.
DOI
10.48550/arxiv.hep-th/9604009

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We describe the recently introduced method of algebraic bosonization of the (1+1)(1+1)(1+1)-dimensional Luttinger systems by discussing in detail the specific case of the Calogero-Sutherland model, and mentioning the hard-core Bose gas. We also compare our findings with the exact Bethe Ansatz results.
We propose an approach to treating (1 + 1)-dimensional fermionic systems based on the idea of algebraic bosonization. This amounts to decomposing the elementary low-lying excitations around the Fermi surface in terms of basic building blocks carrying a representation of the [Formula: see text] algebra, which is the dynamical symmetry of the Fermi quantum incompressible fluid. This symmetry simply expresses the local particle number current conservation at the Fermi surface. The general approach is illustrated in detail through two examples: the Heisenberg and Calogero–Sutherland models, which allow comparison with the exact Bethe ansatz solution.