Exact Off Shell Sudakov Form Factor in N=4 Supersymmetric Yang-Mills Theory
Exact Off Shell Sudakov Form Factor in N=4 Supersymmetric Yang-Mills Theory
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N=4 超对称杨米尔斯理论中的精确离壳苏达科夫形状因子
DOI：
10.1103/physrevlett.130.091605
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发表时间：
2023
影响因子：
8.6
通讯作者：
Smirnov, V. A.
中科院分区：
文献类型：
--
作者：
Belitsky, A. V.;Bork, L. V.;Pikelner, A. F.;Smirnov, V. A.
考虑平面超对称杨-米尔斯理论在离壳运动状态下的Sudakov形因子，可通过考虑其库仑分支的理论来实现。我们证明，对于多达三个循环，红外发散和有限项都是指数的，伴随系数由八边形异常维数决定。这种行为与文献中先前的推测形成鲜明对比。与有限项一起，我们观察到，对于最多三个循环，Sudakov形状因子的对数等于全八边形对数的两倍，这是最近在基于可积性的方法的背景下引入的无限大电荷四点相关函数。对于所有t - Hooft耦合常数和运动学参数的值，完整的八边形以封闭形式已知。我们推测，与壳外Sudakov形式因子之间的关系将适用于所有循环阶数。
We consider the Sudakov form factor in planarsupersymmetric Yang-Mills theory in the off shell kinematical regime, which can be achieved by considering the theory on its Coulomb branch. We demonstrate that for up to three loops both the infrared-divergent as well as the finite terms do exponentiate, with the coefficient accompanyingdetermined by the octagon anomalous dimension. This behavior is in stark contrast to previous conjectural accounts in the literature. Together with the finite terms we observe that for up to three loops the logarithm of the Sudakov form factor is identical to twice the logarithm of thenull octagon, which was recently introduced within the context of integrability-based approaches to four point correlation functions with infinitely largecharges. Thenull octagonis known in a closed form for all values of the ’t Hooft coupling constant and kinematical parameters. We conjecture that the relation betweenand the off shell Sudakov form factor will hold to all loop orders.