论文标题

在$ ads_ {5} \ times s^{5} $的圆形Wilson循环的精确全息图上

On precision holography for the circular Wilson loop in $AdS_{5}\times S^{5}$

论文作者

Botao, Li, Medina-Rincon, Daniel

论文摘要

在强耦合处,在平面限制下,在平面限制中的1/2-BPS圆形圆形环路的弦理论计算以其半经典弦乐分区函数的比例和一个与纬度的Wilson环的比例重新审视,而一个二重要的Wilson循环的比率具有微不足道的期望值。将从磁盘到圆柱体的保形转换应用到圆柱体后,可以通过Gel'Fand-Yaglom形式主义解决此问题。利用文献的结果和从修改的凝胶式 - – Yaglom公式中排除零模式,我们获得了与已知的田间理论结果的匹配。从phaseShift方法计算中可以看出,非零模式贡献取消和最终结果来自纬度威尔逊循环的零模式变性。

The string theory calculation of the 1/2-BPS circular Wilson loop of N=4 SYM in the planar limit at next to leading order at strong coupling is revisited in the ratio of its semiclassical string partition function and the one dual to a latitude Wilson loop with trivial expectation value. After applying a conformal transformation from the disk to the cylinder, this problem can be approached by means of the Gel'fand-Yaglom formalism. Using results from the literature and the exclusion of zero modes from a modified Gel'fand-Yaglom formula, we obtain matching with the known field theory result. As seen in the phaseshift method computation, non-zero mode contributions cancel and the end result comes from the zero mode degeneracies of the latitude Wilson loop.

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