Conical twist fields and null polygonal Wilson loops

Conical twist fields and null polygonal Wilson loops
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圆锥形扭曲场和零多边形威尔逊环

DOI:
10.1016/j.nuclphysb.2018.04.002
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发表时间:
2018
期刊:
影响因子:
2.8
通讯作者:
Castro-Alvaredo O
Castro-Alvaredo O
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Castro-Alvaredo O

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将QFT中的扭曲场概念推广到时空(外部)对称性,研究了二维可积QFT中的锥形扭曲场。这就产生了任意多余角度的圆锥奇点。我们表明,在适当的识别之间的多余的角度和数量的床单,他们有相同的共形尺寸的分支点扭曲领域通常用来代表配分函数的黎曼曲面,这两个领域有密切相关的形状因子。然而,我们表明,锥形扭曲领域是真正不同的分支点扭曲领域。它们生成不同的运算符乘积扩展(短距离扩展)和形状因子扩展(长距离扩展)。事实上,我们在自由场理论中,通过重新求和形状因子,验证了圆锥扭转场算子乘积展开式是正确的。我们建议,锥形扭曲场是正确的领域,以了解零多边形威尔逊环/胶子散射振幅的平面最大超对称杨-米尔斯理论。
Using an extension of the concept of twist field in QFT to space–time (external) symmetries, we study conical twist fields in two-dimensional integrable QFT. These create conical singularities of arbitrary excess angle. We show that, upon appropriate identification between the excess angle and the number of sheets, they have the same conformal dimension as branch-point twist fields commonly used to represent partition functions on Riemann surfaces, and that both fields have closely related form factors. However, we show that conical twist fields are truly different from branch-point twist fields. They generate different operator product expansions (short distance expansions) and form factor expansions (large distance expansions). In fact, we verify in free field theories, by re-summing form factors, that the conical twist fields operator product expansions are correctly reproduced. We propose that conical twist fields are the correct fields in order to understand null polygonal Wilson loops/gluon scattering amplitudes of planar maximally supersymmetric Yang–Mills theory.
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