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Notes on Collective Field Theory of Matrix and Spin Calogero Models

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arxiv hep-th/0607152 v3 pith:2CSLZCNI submitted 2006-07-20 hep-th cond-mat.other

Inês Aniceto , Antal Jevicki This is my paper · ORCID
classification hep-thcond-mat.other
keywords fieldmodelsrepresentationstheorycollectivecontinuumdescribematrix
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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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  1. Bosonic Fortuity in Vector Models

    hep-th 2025-04 conditional novelty 5.0 of 10

    For U(N) vector models, primary invariants number f^2 for f≤N and N^2+2N(f−N) for f>N, with secondary invariants appearing and growing as e^{2N log 2 f}.

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