A Test of the AdS/CFT Correspondence Using High-Spin Operators
A Test of the AdS/CFT Correspondence Using High-Spin Operators
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使用高自旋算子的 AdS/CFT 对应关系测试
DOI：
10.1103/physrevlett.98.131603
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
A. Scardicchio
中科院分区：
文献类型：
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作者：
M. Benna;S. Benvenuti;I. Klebanov;A. Scardicchio
在最近的两篇著名论文 hep-th/0610248 和 hep-th/0610251 中，针对出现在 N = 4 SYM 理论的高自旋算子维度中的耦合的通用函数 f ( g ) 提出了完整的平面微扰展开。我们对 hep-th/0610251 中导出的积分方程进行数值研究，该方程实现了微扰展开式的恢复，并找到了一个接近弦理论预测的渐近形式的平滑函数。事实上，强耦合下的两个主导项与 AdS 5 中半经典折叠弦旋转所获得的结果高度匹配。这构成了对高自旋算子的 AdS/CFT 对应关系的显着确认，同样也对威尔逊环的尖点异常进行了确认。我们还对强耦合级数中的第三项进行了数值预测。红外线克莱巴诺夫将此论文献给他的妹夫戈登·E·加藤 (Gordon E. Kato)。
In two remarkable recent papers, hep-th/0610248 and hep-th/0610251, the complete planar perturbative expansion was proposed for the universal function of the coupling, f ( g ), appearing in the dimensions of high-spin operators of the N = 4 SYM theory. We study numerically the integral equation derived in hep-th/0610251, which implements a resum-mation of the perturbative expansion, and find a smooth function that approaches the asymptotic form predicted by string theory. In fact, the two leading terms at strong coupling match with high accuracy the results obtained for the semiclassical folded string spinning in AdS 5 . This constitutes a remarkable confirmation of the AdS/CFT correspondence for high-spin operators, and equivalently for the cusp anomaly of a Wilson loop. We also make a numerical prediction for the third term in the strong coupling series. I.R. Klebanov dedicates this paper to the memory of his brother-in-law, Gordon E. Kato.
DOI：
10.1016/j.nuclphysb.2004.03.030
发表时间：
2004-03
期刊：
--
影响因子：
--
作者：
S. Moch;J. Vermaseren;A. Vogt
通讯作者：
S. Moch;J. Vermaseren;A. Vogt