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Article Dans Une Revue PoS SOLVAY Année : 2006

Classical limit of Quantum Sigma-Models from Bethe Ansatz

Résumé

In these proceedings we review the results of [1-3]. We show on the example of the SU(2) chiral-field how to reproduce the classical finite gap solutions for a large class of integrable sigma models from their exact quantum solutions. These solutions are usually formulated as Bethe ansatz equations for physical particles on a circle, with the interaction given by the factorized S-matrix conjectured from Zamolodchikovs' bootstrap procedure. Our method opens a new systematic way to justify this procedure. As an application of our method to the integrability in AdS/CFT correspondence, we reproduce the asymptotic string Bethe ansatz conjectured eartlier in the S3 x R sector of the Green-Schwarz-Metsaev-Tseytlin superstring. The role of the Virasoro constraints in this setup is clarified.

Dates et versions

hal-00256749 , version 1 (17-02-2008)

Identifiants

Citer

Nikolay Gromov, Vladimir Kazakov, Pedro Vieira. Classical limit of Quantum Sigma-Models from Bethe Ansatz. PoS SOLVAY, 2006, 005, pp.199. ⟨hal-00256749⟩
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