转化CHY公式
Transmuting CHY formulae
摘要：
近年来提出的各种散射振幅公式强调了不同理论之间隐藏的统一性。KLT和BCJ关系，以及CHY公式，连接了广泛的理论的S-矩阵：最近由张，沈和温提出的嬗变算子，提供了这些相似性的解释。在本文中，我们使用嬗变操作符在树级连接各种CHY被积函数。从引力出发，我们生成了Yang-Mills、双伴随标量、Einstein-Maxwell、Yang-Mills标量、Born-Infeld、Dirac-Born-Infeld、非线性西格玛模型和特殊Galileon理论的被积函数，以及它们的推广。我们也开始在循环水平上的CHY类公式的研究。
英文摘要：
The various formulations of scattering amplitudes presented in recent years have underlined a hidden unity among very different theories. The KLT and BCJ relations, together with the CHY formulation, connect the S-matrices of a wide range of theories: the transmutation operators, recently proposed by Cheung, Shen and Wen, provide an account for these similarities. In this note we use the transmutation operators to link the various CHY integrands at tree-level. Starting from gravity, we generate the integrands for Yang-Mills, biadjoint scalar, Einstein-Maxwell, Yang-Mills scalar, Born-Infeld, Dirac-Born-Infeld, non-linear sigma model and special Galileon theories, as well as for their extensions. We also commence the study of the CHY-like formulae at loop level.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
