Finite size effects in ferromagnetic spin chains and quantum corrections to classical strings
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2005
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Int School Advanced Studies
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Abstract
N = 4 supersymmetric Yang-Mills operators carrying large charges are dual to semiclassical strings in AdS5 × S 5 . The spectrum of anomalous dimensions of very large operators has been calculated solving the Bethe ansatz equations in the thermodynamic limit, and matched to energies of string solitons. We have considered finite size corrections to the Bethe equations, that should correspond to quantum effects on the string side.
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© SISSA 2005. It is a pleasure to thank A. Tseytlin for numerous discussions and informing us of their work prior to publication [56]. We are also grateful to C. Gómez and K. Zarembo for comments and correspondence. E. L. was supported by a Ramón y Cajal contract of the MCYT and in part by the Spanish DGI under contract FPA2003-04597. A. P. was supported by a Spanish fellowship FPI. Finally G. S. has been supported by Spanish DGES under contract BFM2003-05316-C02-01. We also thank the EC Commission for financial support via the FP5 Grant HPRN-CT-2002-00325.