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Published December 1, 2006 | public
Journal Article Open

How accurate is the quantum string Bethe ansatz?

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.

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

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August 22, 2023
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October 16, 2023