论文标题
通过反向软上限构建EYM振幅
Constructing EYM amplitudes by inverse soft limit
论文作者
论文摘要
众所周知，可以通过反向软限制（ISL）方法重建四个维度的重力振幅。根据ISL的说法，树级$ n $ graviton最大值 - 侵略性（MHV）幅度以变形$（n-1）$ - 重力振幅以及伴随软吸引力因子的变形表示。另一方面，已经证明，单人和双轨树级的爱因斯坦 - 杨米尔（EYM）MHV振幅已被证明可以满足跨越森林公式的满足，在森林中，每个边缘的形式相同，术语中的术语为soft Graviton因子。 EYM振幅满足的公式可以使用ISL构建，这是不透明的。在本文中，我们通过ISL构建了EYM中的单个和双轨MHV振幅，并表明可以精确复制已知公式。还引入了基于Schouten身份并以图表为特征的有趣身份。
It is well known that gravity amplitudes in four dimensions can be reconstructed by the inverse soft limit (ISL) method. According to ISL, a tree level $n$-graviton maximally-helicity-violating (MHV) amplitude is expressed in terms of deformed $(n-1)$-graviton amplitudes accompanied by soft graviton factors. On another hand, single- and double-trace tree-level Einstein-Yang-Mills (EYM) MHV amplitudes have been proven to satisfy spanning forest formulas, where each edge in a forest has the same form with a term in soft graviton factor. It is not transparent that the formulas satisfied by EYM amplitudes can be constructed with ISL. In this paper, we construct the single- and double-trace MHV amplitudes in EYM, by the ISL and show that the known formulas can be precisely reproduced. Interesting identities which are based on Schouten identity and characterized by graphs are also introduced.
