论文标题
平面$ \ mathcal {n} = 4 $ sym中的六线振幅的起源
The Origin of the Six-Gluon Amplitude in Planar $\mathcal{N}=4$ SYM
论文作者
论文摘要
我们研究平面$ \ Mathcal {n} = 4 $ super-yang-mills理论时，在所有三个交叉比例小时，在平面$ \ mathcal {n} = 4 $ super-yang-mills理论中，最大值抗侵入性（MHV）六链球散射幅度。它在交叉比例中表现出双重对数缩放，并由少数“异常维度”控制，这些尺寸是耦合常数的函数。受到弱耦合和基于集成性的五角大楼OPE的已知七环结果的启发，我们提出了这些异常维度的全阶重新召集的猜想。在强耦合时，我们的预测与字符串理论分析完全吻合。有趣的是，这些异常的尺寸中最简单的尺寸与描述八角形的光明极限相吻合，即大型BPS运算符的四点函数。
We study the maximally-helicity-violating (MHV) six-gluon scattering amplitude in planar $\mathcal{N} = 4$ super-Yang-Mills theory at finite coupling when all three cross ratios are small. It exhibits a double logarithmic scaling in the cross ratios, controlled by a handful of "anomalous dimensions" that are functions of the coupling constant alone. Inspired by known seven-loop results at weak coupling and the integrability-based pentagon OPE, we present conjectures for the all-order resummation of these anomalous dimensions. At strong coupling, our predictions agree perfectly with the string theory analysis. Intriguingly, the simplest of these anomalous dimensions coincides with one describing the light-like limit of the octagon, namely the four-point function of large-charge BPS operators.
