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The Bajnok-Janik formula and wrapping corrections

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Abstract

We write down the simplified TBA equations of the AdS 5 ×S 5 string σ-model for minimal energy twist-two operators in the sl(2) sector of the model. By using the linearized version of these TBA equations it is shown that the wrapping corrected Bethe equations for these states are identical, up to O(g 8), to the Bethe equations calculated in the generalized Lüscher approach (Bajnok-Janik formula). Applications of the Bajnok-Janik formula to relativistic integrable models, the nonlinear O(n) sigma models for n = 2, 3, 4 and the SU(n) principal sigma models, are also discussed.

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Authors and Affiliations

  1. Research Institute for Particle and Nuclear Physics, Hungarian Academy of Sciences, H-1525, Budapest 114, P.O.B. 49, Hungary

    János Balog & Árpád Hegedüs

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  1. János Balog
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  2. Árpád Hegedüs
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Correspondence to János Balog.

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Balog, J., Hegedüs, Á. The Bajnok-Janik formula and wrapping corrections. J. High Energ. Phys. 2010, 107 (2010). https://doi.org/10.1007/JHEP09(2010)107

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  • DOI: https://doi.org/10.1007/JHEP09(2010)107

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