Space-time S-matrix and flux tube S-matrix II. Extracting and matching data
Space-time S-matrix and flux tube S-matrix II. Extracting and matching data
复制标题
时空S矩阵和通量管S矩阵II。
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
P. Vieira
中科院分区：
文献类型：
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作者：
B. Basso;A. Sever;P. Vieira
本文详细讨论了平面$ \mathcal{N} $ = 4超杨-米尔斯理论中散射振幅/零多边形Wilson环的非微扰形式。它允许一个计算精确的红外有限比率的散射振幅，捕获所有的共形不变的数据的兴趣。我们的建设是基于双威尔逊循环分解成基本的积木命名为五边形过渡。这一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，并将分析扩展到纯量激励领域。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，本文的主要重点是从散射振幅在弱耦合和它的比较对拟议的五边形过渡的微扰数据的提取。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。
A bstractWe elaborate on a non-perturbative formulation of scattering amplitudes/null polygonal Wilson loops in planar $ \mathcal{N} $ = 4 Super-Yang-Mills theory. It allows one to compute a precise IR finite ratio of scattering amplitudes that captures all the conformally invariant data of interest. Our construction is based on a decomposition of the dual Wilson loops into elementary building blocks named pentagon transitions. This 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.
影响因子：
5.4
作者：
L. Mason;David Skinner
通讯作者：
L. Mason;David Skinner
AdS/CFT 可集成性回顾：概述
影响因子：
1.2
作者：
Beisert N
通讯作者：
Beisert N