Classical limit of Quantum Sigma-Models from Bethe Ansatz
Abstract
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.
Cite
@article{arxiv.hep-th/0703137,
title = {Classical limit of Quantum Sigma-Models from Bethe Ansatz},
author = {Nikolay Gromov and Vladimir Kazakov and Pedro Vieira},
journal= {arXiv preprint arXiv:hep-th/0703137},
year = {2011}
}
Comments
Solvay workshop "Bethe Ansatz: 75 Years Later"