Generalized Calogero-Sutherland systems from many-matrix models
High Energy Physics - Theory
2009-10-31 v1 Strongly Correlated Electrons
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
solv-int
Abstract
We construct generalizations of the Calogero-Sutherland-Moser system by appropriately reducing a model involving many unitary matrices. The resulting systems consist of particles on the circle with internal degrees of freedom, coupled through modifications of the inverse-square potential. The coupling involves SU(M) non-invariant (anti)ferromagnetic interactions of the internal degrees of freedom. The systems are shown to be integrable and the spectrum and wavefunctions of the quantum version are derived.
Cite
@article{arxiv.hep-th/9806189,
title = {Generalized Calogero-Sutherland systems from many-matrix models},
author = {Alexios P. Polychronakos},
journal= {arXiv preprint arXiv:hep-th/9806189},
year = {2009}
}
Comments
8 pages, LaTeX, no figures