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dc.contributor.authorFROLOV, SERGEYen
dc.date.accessioned2011-01-18T12:51:57Z
dc.date.available2011-01-18T12:51:57Z
dc.date.issued2007en
dc.date.submitted2007en
dc.identifier.citationGleb Arutyunov, Sergey Frolov, On String S-matrix, Bound States and TBA, Journal of High Energy Physics, 12, 2007, 024en
dc.identifier.otherYen
dc.identifier.urihttp://hdl.handle.net/2262/49373
dc.descriptionPUBLISHEDen
dc.description.abstractThe study of finite J effects for the light-cone AdS5 ? S5 superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the original string model by the double Wick rotation. The S-matrices describing the scattering of physical excitations in the string and mirror models are related to each other by an analytic continuation. We show that the unitarity requirement for the mirror S-matrix fixes the S-matrices of both theories essentially uniquely. The resulting string S-matrix S(z1, z2) satisfies the generalized unitarity condition and, up to a scalar factor, is a meromorphic function on the elliptic curve associated to each variable z. The double Wick rotation is then accomplished by shifting the variables z by quarter of the imaginary period of the torus. We discuss the apparent bound states of the string and mirror models, and show that depending on a choice of the physical region there are one, two or 2M?1 solutions of the M-particle bound state equations sharing the same conserved charges. For very large but finite values of J, most of these solutions, however, exhibit various signs of pathological behavior. In particular, they might receive a finite J correction to their energy which is complex, or the energy correction might exceed corrections arising due to finite J modifications of the Bethe equations thus making the asymptotic Bethe ansatz inapplicable.en
dc.description.sponsorshipThe work of G. A. was supported in part by the RFBI grant N05-01-00758, by the grant NSh-672.2006.1, by NWO grant 047017015 and by the INTAS contract 03-51-6346. The work of S.F. was supported in part by the Science Foundation Ireland under Grant No. 07/RFP/PHYF104 and by a one-month Max-Planck-Institut f ur Gravitationsphysik Albert-Einstein-Institut grant. The work of G. A. and S. F. was supported in part by the EU-RTN network Constituents, Fundamental Forces and Symmetries of the Universe (MRTN-CT-2004-512194).en
dc.format.extent024en
dc.language.isoenen
dc.relation.ispartofseriesJournal of High Energy Physicsen
dc.relation.ispartofseries12en
dc.rightsYen
dc.subjectMathematicsen
dc.subjectString Theoryen
dc.titleOn String S-matrix, Bound States and TBAen
dc.typeJournal Articleen
dc.contributor.sponsorScience Foundation Ireland (SFI)en
dc.type.supercollectionscholarly_publicationsen
dc.type.supercollectionrefereed_publicationsen
dc.identifier.peoplefinderurlhttp://people.tcd.ie/frolovsen
dc.identifier.rssinternalid70176en
dc.subject.TCDThemeNanoscience & Materialsen
dc.identifier.rssurihttp://dx.doi.org/10.1088/1126-6708/2007/12/024en


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