Strings as Multi-Particle States of Quantum Sigma-Models

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dc.creatorGromov, Nikolay
dc.creatorKazakov, Vladimir
dc.creatorSakai, Kazuhiro
dc.creatorVieira, Pedro
dc.date2006-03-06
dc.date.accessioned2026-07-07T10:46:09Z
dc.date.available2026-07-07T10:46:09Z
dc.descriptionWe study the quantum Bethe ansatz equations in the O(2n) sigma-model for hysical particles on a circle, with the interaction given by the Zamolodchikovs' S-matrix, in view of its application to quantization of the string on the S^{2n-1} x R_t space. For a finite number of particles, the system looks like an inhomogeneous integrable O(2n) spin chain. Similarly to OSp(2m+n|2m) conformal sigma-model considered by Mann and Polchinski, we reproduce in the limit of large density of particles the finite gap Kazakov-Marshakov-Minahan-Zarembo solution for the classical string and its generalization to the S^5 x R_t sector of the Green-Schwarz-Metsaev-Tseytlin superstring. We also reproduce some quantum effects: the BMN limit and the quantum homogeneous spin chain similar to the one describing the bosonic sector of the one-loop N=4 super Yang-Mills theory. We discuss the prospects of generalization of these Bethe equations to the full superstring sigma-model.
dc.description52 pages, 10 figures, LaTeX
dc.identifierhttps://arxiv.org/abs/hep-th/0603043
dc.identifierhttp://arxiv.org/abs/hep-th/0603043
dc.identifierNucl.Phys.B764:15-61,2007
dc.identifierdoi:10.1016/j.nuclphysb.2006.11.018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183137
dc.subjectHigh Energy Physics - Theory
dc.titleStrings as Multi-Particle States of Quantum Sigma-Models
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