论文标题
循环方程式和精确的柔软异常尺寸n = 4 super yang-mills
Loop Equation and Exact Soft Anomalous Dimension in N=4 Super Yang-Mills
论文作者
论文摘要
BPS Wilson循环超对称规格理论一直是主动研究的主题，因为它们通常可以适应精确的计算。到目前为止，大多数研究都集中在不相交的循环上。在本文中，我们通过使用超对称定位和2D仪表理论中的循环方程组合结合了将1/8 bps Wilson Loops与N = 4超对称Yang-Mills理论相交的确切结果。结果是由新型的矩阵模型样表示给出的，该表示将多个轮廓积分和高斯矩阵模型耦合。我们在大N处评估积分，并在强耦合时与字符串世界表的描述进行接触。作为结果的应用，我们准确地计算了交叉异常尺寸的小角度极限（且更一般的BPS限制），该尺寸控制着相交的威尔逊线的紫外线差异。相同数量描述了库仑分支中W实量散射幅度的软异常。
BPS Wilson loops in supersymmetric gauge theories have been the subjects of active research since they are often amenable to exact computation. So far most of the studies have focused on loops that do not intersect. In this paper, we derive exact results for intersecting 1/8 BPS Wilson loops in N=4 supersymmetric Yang-Mills theory, using a combination of supersymmetric localization and the loop equation in 2d gauge theory. The result is given by a novel matrix-model-like representation which couples multiple contour integrals and a Gaussian matrix model. We evaluate the integral at large N, and make contact with the string worldsheet description at strong coupling. As an application of our results, we compute exactly a small-angle limit (and more generally near-BPS limits) of the cross anomalous dimension which governs the UV divergence of intersecting Wilson lines. The same quantity describes the soft anomalous dimension of scattering amplitudes of W-bosons in the Coulomb branch.
