Algebraic bosonization: the study of the Heisenberg and Calogero-Sutherland models

Abstract

We propose an approach to treat (1 + 1)–dimensional fermionic systems based on the idea of algebraic bosonization. This amounts to decompose the elementary low-lying excitations around the Fermi surface in terms of basic building blocks which carry a representation of the W1+∞ × W 1+∞ 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 in two examples: the Heisenberg and Calogero-Sutherland models, which allow for a comparison with the exact Bethe Ansatz solution. March 1996 II Facoltà di Scienze M.F.N., Università di Torino (sede di Alessandria), Italy

Cite this paper

@inproceedings{Frau2008AlgebraicBT, title={Algebraic bosonization: the study of the Heisenberg and Calogero-Sutherland models}, author={Marialuisa Frau and Stefano SCIUTO and Alberto Lerda and Guillermo R. Zemba}, year={2008} }