Notes on collective field theory of matrix and spin Calogero models
Notes on collective field theory of matrix and spin Calogero models
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.
hep-th, cond-mat.other
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Jevicki, Antal
5e483818-a19f-494b-89b0-9f0061faff49
27 September 2006
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Jevicki, Antal
5e483818-a19f-494b-89b0-9f0061faff49
Aniceto, Inês and Jevicki, Antal
(2006)
Notes on collective field theory of matrix and spin Calogero models.
Journal of Physics A: Mathematical and General, 39.
(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.
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More information
Accepted/In Press date: 20 July 2006
e-pub ahead of print date: 9 August 2006
Published date: 27 September 2006
Additional Information:
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
Keywords:
hep-th, cond-mat.other
Identifiers
Local EPrints ID: 424148
URI: http://eprints.soton.ac.uk/id/eprint/424148
ISSN: 0305-4470
PURE UUID: 414206bd-029d-40aa-92ea-014c64219afb
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Date deposited: 05 Oct 2018 11:30
Last modified: 16 Mar 2024 04:39
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Author:
Antal Jevicki
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