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Gauge theory approach towards an explicit solution of the (classical) elliptic Calogero-Moser system
KTH, Skolan för teknikvetenskap (SCI), Teoretisk fysik, Matematisk fysik.
2005 (engelsk)Inngår i: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, E-ISSN 1776-0852, Vol. 12, s. 423-439Artikkel i tidsskrift (Fagfellevurdert) 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.

sted, utgiver, år, opplag, sider
2005. Vol. 12, s. 423-439
Emneord [en]
many-body problems, 1 matrix model, integrable systems, cylinder, equations, bundles
Identifikatorer
URN: urn:nbn:se:kth:diva-14474ISI: 000226501000037Scopus ID: 2-s2.0-30444449391OAI: oai:DiVA.org:kth-14474DiVA, id: diva2:332515
Merknad
QC 20100525Tilgjengelig fra: 2010-08-05 Laget: 2010-08-05 Sist oppdatert: 2017-12-12bibliografisk kontrollert

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