论文标题
振幅的起源故事
An Origin Story for Amplitudes
论文作者
论文摘要
我们对违反平面$ \ Mathcal {n} = 4 $ Super-Yang-Mills理论中的多灰线散射幅度的最大螺旋性的来源限制进行了分类，其中大量的交叉比率在集群代数的帮助下接近零。通过分析现有的扰动数据和引导新数据，我们提供了证据，表明幅度成为大对数中二次多项式的指数。通过在强耦合下从热力学伯特Ansatz的额外输入中，我们猜想了在所有原点限制下具有多达8个元素的振幅的精确表达式。我们的表达式受倾斜度的倾斜异常维度的控制，这些倾斜度在倾斜角的各个值中评估。
We classify origin limits of maximally helicity violating multi-gluon scattering amplitudes in planar $\mathcal{N}=4$ super-Yang-Mills theory, where a large number of cross ratios approach zero, with the help of cluster algebras. By analyzing existing perturbative data, and bootstrapping new data, we provide evidence that the amplitudes become the exponential of a quadratic polynomial in the large logarithms. With additional input from the thermodynamic Bethe ansatz at strong coupling, we conjecture exact expressions for amplitudes with up to 8 gluons in all origin limits. Our expressions are governed by the tilted cusp anomalous dimension evaluated at various values of the tilt angle.
