引力对应的杨-米尔斯振幅的次领头共线极限
Subleading Collinear Limits of Yang-Mills Amplitudes from Gravity
浏览论文内容
中文总结 AI 辅助
该研究揭示杨-米尔斯振幅的次领头共线区域受爱因斯坦-杨-米尔斯振幅及其高阶导数修正控制，通过类BCJ关系缩减共线数据基，由引力振幅及开弦修正表示，分解受第一类无符号斯特林数支配。
中文摘要 AI 辅助
我们证明，杨-米尔斯（YM）振幅的次领头共线区域受普通爱因斯坦-杨-米尔斯（EYM）振幅及其高阶导数修正的控制。与等螺旋度共线对相关的全部严格次领头共线极限可从开闭弦盘振幅中提取。后者生成带有非线性运动学系数的1/2 (n-3)! 个类BCJ关系，将 (n-3)! 个共线数据缩减为维度1/2 (n-3)! 的基。该缩减基可由EYM理论中的引力振幅及其高阶导数开弦修正表示。在多重度n下，此引力基包含 (n-4)! 个独立的EYM子振幅，以及1/2 (n-5)(n-4)! 个涉及1个引力子和n-2个胶子的高阶修正。该分解由第一类无符号斯特林数控制：普通EYM振幅对应于分区 [{n-3\brace 1}]，高阶类BCJ关系对应于偶分区 [{n-3\brace 2j}]，高阶导数EYM修正对应于奇分区 [{n-3\brace 2j+1}]（j≥1）。
英文摘要
We show that the subleading collinear sector of Yang-Mills (YM) amplitudes is controlled by ordinary Einstein-Yang-Mills (EYM) amplitudes and their higher-derivative corrections. The complete set of strict subleading collinear limits associated with an equal-helicity collinear pair can be extracted from open-closed string disk amplitudes. The latter generate $\frac12 (n-3)!$ BCJ-like relations with non-linear kinematic coefficients, reducing the $(n-3)!$ collinear data to a basis of dimension $\frac12 (n-3)!$. This reduced basis can be represented by gravitational amplitudes in EYM theories and by their higher-derivative open-string corrections. At multiplicity $n$ this gravitational basis consists of the $(n-4)!$ independent EYM subamplitudes together with $\frac12 (n-5)(n-4)!$ higher-order corrections involving one graviton and $n-2$ gluons. The resulting decomposition is governed by unsigned Stirling numbers of the first kind: the ordinary EYM amplitudes correspond to the sector $\left[{n-3\atop 1}\right]$, the higher-order BCJ-like relations to even sectors $\left[{n-3\atop 2j}\right]$, and the higher-derivative EYM corrections to odd sectors $\left[{n-3\atop 2j+1}\right]$ with $j\geq 1$.
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）
机构由 AI 辅助整理，请以论文原文为准。
