NLSM振幅的BCFW边界项递推关系
Recursion Relation for BCFW Boundary Terms of NLSM Amplitudes
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中文总结 AI 辅助
本文提出一种基于2-分割性质从低点振幅递推确定NLSM振幅BCFW边界项的简单方案，结合隐藏零点和质量维度约束，实现边界项的递归构造。
中文摘要 AI 辅助
在使用BCFW壳上递推关系计算非线性sigma模型（NLSM）的树级振幅时，边界项是不可避免的。这里，BCFW递推关系指的是对两条外腿进行动量平移的原始方案，而非具有重新定义动量平移的广义版本。我们提出了一种简单的一般方案，该方案可从低点振幅递推地确定NLSM振幅的边界项。隐藏零点和质量维度严格约束了边界项，使我们能够利用树振幅的$2$-分割性质来计算这些项。结合文献中已有的从壳上振幅获得$2$-分割中两个流量的规则，该方案使得从低点振幅递推构造高点振幅的边界项成为可能。
英文摘要
When computing tree-level amplitudes of the nonlinear sigma model (NLSM) via the BCFW on-shell recursion relation, boundary terms are inevitable. Here, the BCFW recursion relation refers to the original prescription with momentum-shifts on two external legs, as opposed to the generalized versions with redefined momentum-shifts. We propose a simple general scheme that determines the boundary terms of NLSM amplitudes recursively from lower-point amplitudes. Hidden zeros and mass dimensions severely constrain boundary terms, allowing us to compute these terms from the $2$-split property of the tree amplitudes. Combined with the existing rules in the literature for obtaining the two currents in the $2$-split from on-shell amplitudes, this scheme enables the recursive construction of boundary terms for higher-point amplitudes from lower-point amplitudes.
发表机构
- Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University（扬州大学物理科学与技术学院引力与宇宙学中心）
机构由 AI 辅助整理，请以论文原文为准。
