论文标题
精确的外壳Sudakov form sum n = 4 sym
Exact off-shell Sudakov form factor in N=4 SYM
论文作者
论文摘要
我们考虑了非壳运动学方面的n = 4 sym中的sudakov形状，这可以通过在其库仑分支上考虑该理论来实现。我们证明，在两个循环中，红外发散和有限项都可以指出，伴随$ \ log^2（m^2）$的系数由八角形异常尺寸$γ_{oct oct} $确定。这种行为与文献中以前的猜想相反。与有限术语一起，我们观察到，最多三个循环sudakov formak的对数与Null八角形$ \ Mathbb {O} _0 $的对数的两倍相同，该对数最近在基于集成性的方法的上下文中引入了四个点相关性与无限larger-Large large R-Charge的功能。 null八角形$ \ mathbb {o} _0 $以封闭形式以't Hooft耦合常数和运动学参数的所有值而闻名。我们猜想$ \ Mathbb {O} _0 $与壳sudakov form form source之间的关系将保持到所有循环订单。
We consider the Sudakov form factor in N=4 SYM in the off-shell kinematical regime, which can be achieved by considering the theory on its Coulomb branch. We demonstrate that up two three loops both the infrared-divergent as well as the finite terms do exponentiate, with the coefficient accompanying $\log^2(m^2)$ determined by the octagon anomalous dimension $Γ_{oct}$. This behaviour is in strike contrast to previous conjectural accounts in the literature. Together with the finite terms we observe that up to three loops the logarithm of the Sudakov form factor is identical to twice the logarithm of the null octagon $\mathbb{O}_0$, which was recently introduced within the context of integrability-based approaches to four point correlation functions with infinitely-large R-charges. The null octagon $\mathbb{O}_0$ is known in a closed form for all values of the 't Hooft coupling constant and kinematical parameters. We conjecture that the relation between $\mathbb{O}_0$ and the off-shell Sudakov form factor will hold to all loop orders.
