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How accurate is the quantum string Bethe ansatz?

Schäfer-Nameki, Sakura and Zamaklar, Marija and Zarembo, Konstantin (2006) How accurate is the quantum string Bethe ansatz? Journal of High Energy Physics, 2006 (12). Art. No. 020. ISSN 1126-6708. https://resolver.caltech.edu/CaltechAUTHORS:SCHAjhep06

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Abstract

We compare solutions of the quantum string Bethe equations with explicit one-loop calculations in the sigma-model on AdS5 × S^5. The Bethe ansatz exactly reproduces the spectrum of infinitely long strings. When the length is finite, we find that deviations from the exact answer arise which are exponentially small in the string length.


Item Type:Article
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https://doi.org/10.1088/1126-6708/2006/12/020DOIUNSPECIFIED
Additional Information:© 2006 SISSA Received 30 October 2006, accepted for publication 15 November 2006. Published 6 December 2006 We would like to thank R. Roiban, J. Teschner and A. Tseytlin for interesting discussions. The work of K.Z. was supported in part by the Swedish Research Council under contracts 621-2004-3178 and 621-2003-2742, by the Göran Gustafsson Foundation, and by RFBR grant NSh-1999.2003.2 for the support of scientific schools. S.S.N. is supported by a Caltech John A. McCohn Postdoctoral Fellowship in Theoretical Physics. E-print number: hep-th/0610250
Subject Keywords:AdS-CFT Correspondence, Integrable Field Theories, Bethe Ansatz, Gauge-gravity correspondence
Issue or Number:12
Record Number:CaltechAUTHORS:SCHAjhep06
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:SCHAjhep06
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6866
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:30 Dec 2006
Last Modified:02 Oct 2019 23:36

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