Notes on collective field theory of matrix and spin Calogero models

DOI10.1088/0305-4470/39/41/S06zbMATH Open1109.81084arXivhep-th/0607152OpenAlexW2054541844MaRDI QIDQ3420510

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Publication date: 2 February 2007

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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.

Full work available at URL: https://arxiv.org/abs/hep-th/0607152

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