从递推关系导出杨-米尔斯振幅的次领头共线极限
Subleading Collinear Limits of Yang--Mills Amplitudes from Recursions
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中文总结 AI 辅助
本文研究树级色有序杨-米尔斯振幅的次领头相邻共线极限，通过任意维度的洛伦兹零旋转及四维的共线感知BCF递推等方法推导系数，还给出单引力子爱因斯坦-杨-米尔斯振幅的直接构造，附带Mathematica实现。
中文摘要 AI 辅助
我们研究树级色有序杨-米尔斯振幅的次领头相邻共线极限。在任意维度中，洛伦兹零旋转会沿共线路径传输共线腿的极化，同时保持横截性和规范等价性。有限系数可分为两部分：一是由删除道的Berends--Giele递推计算的无极点硬贡献，二是来自相邻因子化道的显式贡献。在四维中，我们直接从具有共线感知的Britto-Cachazo-Feng-Witten递推构造出相同的系数，该递推的终端数据为闭合MHV和$\rm \bar{MHV}$公式。两种构造均适用于任意动量分数，且可扩展至具有不同极化的共线胶子；在对称分裂时，辅助矢量的依赖性在极化相等及极化对称化混合极限中会抵消。开-闭圆盘关系可从递推生成的系数直接构造单引力子爱因斯坦-杨-米尔斯振幅及其高阶导数弦修正。本文附带一个自包含的\textsc{Mathematica}实现程序。
英文摘要
We study the subleading adjacent-collinear limit of tree-level color-ordered Yang--Mills amplitudes. In general dimensions, a Lorentz null rotation transports the polarizations of collinear legs along the collinear path while preserving transversality and gauge equivalence. The finite coefficient then separates into a pole-free hard contribution, computed by a channel-deleted Berends--Giele recursion, and an explicit contribution from the adjacent factorization channel. In four dimensions, we construct the same coefficient directly from a collinear-aware Britto-Cachazo-Feng-Witten recursion whose terminal data are closed MHV and $\overline{\rm MHV}$ formulas. Both constructions apply at arbitrary momentum fraction and extend to collinear gluons with distinct polarizations; at the symmetric split, the auxiliary-vector dependence cancels for equal polarizations and for the polarization-symmetrized mixed limit. Open--closed disk relations then give a direct construction of one-graviton Einstein--Yang--Mills amplitudes and their higher-derivative string corrections from the recursively generated coefficients. A self-contained \textsc{Mathematica} implementation accompanies the paper.
发表机构
- Max-Planck-Institut für Physik, Werner-Heisenberg-Institut（马克斯·普朗克物理研究所，维尔纳·海森堡研究所）
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