论文标题

Sagex关于散射幅度的评论,第1章:振幅的现代基本原理

The SAGEX Review on Scattering Amplitudes, Chapter 1: Modern Fundamentals of Amplitudes

论文作者

Brandhuber, Andreas, Plefka, Jan, Travaglini, Gabriele

论文摘要

本章介绍了散射幅度的基本要素。只有对量子场理论的基本理解,读者可以访问它。涵盖的主题包括:四维纺纱形形式主义和阳米尔散射幅度的颜色分解;阳米尔和重力振幅的软和共线极限的研究; BCFW递归关系和广义单位性,也是在$ \ mathcal {n} {=} {=}的超级宽度形式主义中; $ \ Mathcal {n} {=} 4 $ supersymmetric yang-mills的标准和隐藏对称性的概述,例如形成符号,二元组合和扬吉对称性;并简要介绍了Yang-Mills理论中受保护和不受保护的操作员的形式。还提供了几个示例和明确的计算。

This chapter introduces the foundational elements of scattering amplitudes. It is meant to be accessible to readers with only a basic understanding of quantum field theory. Topics covered include: the four-dimensional spinor-helicity formalism and the colour decomposition of Yang-Mills scattering amplitudes; the study of soft and collinear limits of Yang-Mills and gravity amplitudes; the BCFW recursion relation and generalised unitarity, also in the superamplitudes formalism of $\mathcal{N}{=}4$ supersymmetric Yang-Mills; an overview of standard and hidden symmetries of the $S$-matrix of $\mathcal{N}{=}4$ supersymmetric Yang-Mills, such as the conformal, dual conformal and Yangian symmetries; and a brief excursus on form factors of protected and non-protected operators in Yang-Mills theory. Several examples and explicit calculations are also provided.

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