Gauge theory approach towards an explicit solution of the (classical) elliptic Calogero-Moser system
2005 (English)In: Journal of Nonlinear Mathematical Physics, ISSN 1402-9251, Vol. 12, 423-439 p.Article in journal (Refereed) Published
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.
many-body problems, 1 matrix model, integrable systems, cylinder, equations, bundles
IdentifiersURN: urn:nbn:se:kth:diva-14474ISI: 000226501000037ScopusID: 2-s2.0-30444449391OAI: oai:DiVA.org:kth-14474DiVA: diva2:332515
QC 201005252010-08-052010-08-05Bibliographically approved