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arXiv 1407.2853hep-th
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非单重五边形与NMHV振幅

Nonsinglet pentagons and NMHV amplitudes

A. V. Belitsky

摘要:

最大超对称规范理论中的散射振幅可以用超威尔逊圈在零多边形轮廓上的期望值来描述。这使得分析服从非微扰技术。目前,我们阐述了一个精致的形式的算子乘积展开的五边形过渡计算扭曲两个NMHV振幅的贡献。首先,我们提供了一个新的推导散射矩阵从巴克斯特方程的磁通管激发在磁振子背景上传播。我们提出了服从五边形形状因子的非单重态量子数的Bootstrap方程,并给出了它们在t Hooft耦合中的所有阶的解.然后,这些都成功地面对可用的微扰计算NMHV振幅三个回路的顺序。

英文摘要:

Scattering amplitudes in maximally supersymmetric gauge theory receive a dual description in terms of the expectation value of the super Wilson loop stretched on a null polygonal contour. This makes the analysis amenable to nonperturbative techniques. Presently, we elaborate on a refined form of the operator product expansion in terms of pentagon transitions to compute twist-two contributions to NMHV amplitudes. To start with, we provide a novel derivation of scattering matrices starting from Baxter equations for flux-tube excitations propagating on magnon background. We propose bootstrap equations obeyed by pentagon form factors with nonsinglet quantum numbers with respected to the R-symmetry group and provide solutions to them to all orders in 't Hooft coupling. These are then successfully confronted against available perturbative calculations for NMHV amplitudes to three-loop order.

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