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dc.contributor.authorFROLOV, SERGEY
dc.date.accessioned2011-01-17T17:37:20Z
dc.date.available2011-01-17T17:37:20Z
dc.date.issued2005
dc.date.submitted2005en
dc.identifier.citationG. Arutyunov and S. Frolov, Integrable Hamiltonian for Classical Strings on AdS(5) x S**5, Journal of High Energy Physics, 02, 2005, 059 -en
dc.identifier.otherY
dc.identifier.urihttp://hdl.handle.net/2262/49311
dc.descriptionPUBLISHEDen
dc.description.abstractWe find the Hamiltonian for physical excitations of the classical bosonic string propagating in the AdS_5 x S^5 space-time. The Hamiltonian is obtained in a so-called uniform gauge which is related to the static gauge by a 2d duality transformation. The Hamiltonian is of the Nambu type and depends on two parameters: a single S^5 angular momentum J and the string tension \lambda. In the general case both parameters can be finite. The space of string states consists of short and long strings. In the sector of short strings the large J expansion with \lambda'=\lambda/J^2 fixed recovers the plane-wave Hamiltonian and higher-order corrections recently studied in the literature. In the strong coupling limit \lambda\to \infty, J fixed, the energy of short strings scales as \sqrt[4]{\lambda} while the energy of long strings scales as \sqrt{\lambda}. We further show that the gauge-fixed Hamiltonian is integrable by constructing the corresponding Lax representation. We discuss some general properties of the monodromy matrix, and verify that the asymptotic behavior of the quasi-momentum perfectly agrees with the one obtained earlier for some specific cases.en
dc.description.sponsorshipWe would like to thank Niklas Beisert, Herman Nicolai, Ari Pankiewicz, Nikolai Reshetikhin, Matthias Staudacher for interesting discussions and especially Arkady Tseytlin for helpful comments on the manuscript. The work of G. A. was supported in part by the European Commission RTN programme HPRN-CT-2000-00131 and by RFBI grant N02-01-00695. The work of S. F. was supported in part by the 2004 Crouse Award.en
dc.format.extent059en
dc.language.isoenen
dc.publisherInstitute of Physicsen
dc.relation.ispartofseriesJournal of High Energy Physics;
dc.relation.ispartofseries02;
dc.rightsYen
dc.subjectMathematicsen
dc.subjectstring theoryen
dc.subjecthamiltonianen
dc.titleIntegrable Hamiltonian for Classical Strings on AdS(5) x S**5en
dc.typeJournal Articleen
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/frolovs
dc.identifier.rssinternalid70466
dc.identifier.rssurihttp://dx.doi.org/10.1088/1126-6708/2005/02/059en


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