Bajnok-Janik公式和包裹修正
The Bajnok-Janik formula and wrapping corrections
摘要:
我们给出了$AdS_5 \times S^5$弦σ模型在sl(2)扇区中最小能量扭二算子的简化TBA方程。通过使用这些TBA方程的线性化版本,可以证明这些状态的包裹校正Bethe方程与广义Lüscher方法(Bajnok-Janik公式)中计算的Bethe方程相同,最高可达O(g^8)。讨论了Bajnok-Janik公式在相对论可积模型、非线性O(n)西格玛模型(n= 2,3,4)和SU(n)主西格玛模型中的应用。
英文摘要:
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 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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