Benna M K, Benvenuti S, Klebanov I R, Scardicchio A
Joseph Henry Laboratories, Princeton University, Princeton, NJ 08544, USA.
Phys Rev Lett. 2007 Mar 30;98(13):131603. doi: 10.1103/PhysRevLett.98.131603.
In two remarkable recent papers the planar perturbative expansion was proposed for the universal function of the coupling appearing in the dimensions of high-spin operators of the N=4 super Yang-Mills theory. We study numerically the integral equation derived by Beisert, Eden, and Staudacher, which resumes the perturbative series. In a confirmation of the anti-de Sitter-space/conformal-field-theory (AdS/CFT) correspondence, we find a smooth function whose two leading terms at strong coupling match the results obtained for the semiclassical folded string spinning in AdS5. We also make a numerical prediction for the third term in the strong coupling series.
在最近两篇引人注目的论文中，针对N = 4超杨-米尔斯理论高自旋算符维度中出现的耦合通用函数，提出了平面微扰展开。我们对由贝泽特、伊登和施陶德克尔推导的积分方程进行了数值研究，该方程恢复了微扰级数。作为对反德西特空间/共形场论（AdS/CFT）对应关系的验证，我们找到了一个光滑函数，其在强耦合下的前两项与在AdS5中自旋的半经典折叠弦所得到的结果相匹配。我们还对强耦合级数中的第三项做出了数值预测。
