时空S矩阵和通量管S矩阵II。提取和匹配数据
Space-time S-matrix and Flux tube S-matrix II. Extracting and Matching Data
摘要：
本文详细讨论了N=4平面超杨-米尔斯理论中散射振幅/零多边形威尔逊圈的非微扰形式。该构造基于将威尔逊圈分解成称为五边形过渡的基本构建块。我们的讨论扩展了作者以前的一封信，其中介绍了这些跃迁并分析了所谓的胶子激发。在本文中，我们重新审视这些转变，并扩展到标量激发部门的分析。我们限制自己的单粒子跃迁和引导他们的有限耦合表达式使用一组公理。除了这些考虑之外，本文的主要重点是从弱耦合下的散射振幅中提取微扰数据，并与所提出的五边形跃迁进行比较。我们提出了几个测试的六边形和七边形（MHV和NMHV）的幅度高达两个和三个循环的订单。在所附的笔记本中，我们提供了从我们的方法获得的显式高循环预测。
英文摘要：
We elaborate on a non-perturbative formulation of scattering amplitudes/null polygonal Wilson loops in planar N=4 Super-Yang-Mills theory. The construction is based on a decomposition of the Wilson loop into elementary building blocks named pentagon transitions. Our discussion expands on a previous letter of the authors where these transitions were introduced and analyzed for the so-called gluonic excitations. In this paper we revisit these transitions and extend the analysis to the sector of scalar excitations. We restrict ourselves to the single particle transitions and bootstrap their finite coupling expressions using a set of axioms. Besides these considerations, the main focus of the paper is on the extraction of perturbative data from scattering amplitudes at weak coupling and its comparison against the proposed pentagon transitions. We present several tests for both the hexagon and heptagon (MHV and NMHV) amplitudes up to two- and three-loop orders. In attached notebooks we provide explicit higher-loop predictions obtained from our method.
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