The Bajnok-Janik formula and wrapping corrections

Details The Bajnok-Janik formula and wrapping corrections The Bajnok-Janik formula and wrapping corrections

2010-03-22

arxiv.org/abs/1003.4303v2

JHEP 1009:107,2010

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 22 pages, published version

Scientific paper

10.1007/JHEP09(2010)107

We write down the simplified TBA equations of the $AdS_5 \times S^5$ string sigma-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 L\"uscher 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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