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Gauge theory approach towards an explicit solution of the (classical) elliptic Calogero-Moser system
KTH, School of Engineering Sciences (SCI), Theoretical Physics, Mathematical Physics.
2005 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, Vol. 12, 423-439 p.Article in journal (Refereed) Published
Abstract [en]

We discuss the relation of the trigonometric Calogero-Moser (CM) system to Yang-Mills gauge theories and its generalization to the elliptic case. This yields a linearization of the time evolution of the elliptic CM system and suggests two promising strategies for finding a fully explicit solution of this model. We also present a large class of integrable spin-particle systems generalizing the elliptic CM system.

Place, publisher, year, edition, pages
2005. Vol. 12, 423-439 p.
Keyword [en]
many-body problems, 1 matrix model, integrable systems, cylinder, equations, bundles
Identifiers
URN: urn:nbn:se:kth:diva-14474ISI: 000226501000037Scopus ID: 2-s2.0-30444449391OAI: oai:DiVA.org:kth-14474DiVA: diva2:332515
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05Bibliographically approved

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