Notes on Collective Field Theory of Matrix and Spin Calogero Models

Details Notes on Collective Field Theory of Matrix and Spin Calogero Models Notes on Collective Field Theory of Matrix and Spin Calogero Models

2006-07-20

arxiv.org/abs/hep-th/0607152v3

J.Phys.A39:12765-12792,2006

Physics

High Energy Physics

High Energy Physics - Theory

36 pages, no figures v2: references added, a version to appear in the special issue of JPhysA (edited by G Dunne, J Feinberg a

Scientific paper

10.1088/0305-4470/39/41/S06

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.

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