论文标题

SAGEX关于散射幅度的评论,第9章:渔网理论中振幅的整合性

The SAGEX Review on Scattering Amplitudes, Chapter 9: Integrability of Amplitudes in Fishnet Theories

论文作者

Chicherin, Dmitry, Korchemsky, Gregory P.

论文摘要

我们讨论了散射幅度的特性,该幅度在$ \ Mathcal n = 4 $ sym的可集成变形的研究中以前出现。与后一种理论的区别,共形渔网理论中的散射幅度不遭受红外差异的影响,并且具有增强的对称性。我们证明,对于最简单的四粒子散射,可以计算单个和双跟踪部分振幅,以在领先的颜色近似中进行任意耦合。我们还回顾了在无限二维扬吉对称性下,在领先的颜色极限中,多粒子渔网振幅的单轨分量的不变性。

We discuss the properties of scattering amplitudes in a conformal bi-scalar fishnet theory that previously appeared in the study of integrable deformations of $\mathcal N=4$ SYM. In distinction with the latter theory, the scattering amplitudes in the conformal fishnet theory do not suffer from infrared divergences and possess enhanced symmetries. We demonstrate that for the simplest four-particle scattering the single- and double-trace partial amplitudes can be computed for arbitrary coupling in the leading color approximation. We also review the invariance of single-trace components of multi-particle fishnet amplitudes in the leading color limit under infinite-dimensional Yangian symmetry.

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