Notes on Collective Field Theory of Matrix and Spin Calogero Models
arXiv:hep-th/0607152 · doi:10.1088/0305-4470/39/41/S06
Abstract
Matrix models and related Spin-Calogero-Sutherland models are of major relevance in a variety of subjects, ranging from condensed matter physics to QCD and low dimensional string theory. They are characterized by integrability and exact solvability. Their continuum, field theoretic representations are likewise of definite interest. In this paper we describe various continuum, field theoretic representations of these models based on bosonization and collective field theory techniques. We compare various known representations and describe some nontrivial applications.
36 pages, no figures v2: references added, a version to appear in the special issue of JPhysA (edited by G Dunne, J Feinberg and P Dorey) v3:comments changed, paper identical to v2
References in corpus (5)
- Physics and Mathematics of Calogero particles
- Matrix Quantum Mechanics and Two-dimensional String Theory in Non-trivial Backgrounds
- Spin Calogero models associated with Riemannian symmetric spaces of negative curvature
- Solving the eigenvalue problem arising from the adjoint sector of the c=1 matrix model
- Symmetry and Integrability of Non-Singlet Sectors in Matrix Quantum Mechanics