发表机构
Chung Yuan Christian University; National Yang Ming Chiao Tung University; ShanghaiTech University（中原大学; 国立阳明交通大学; 上海科技大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明了硬弦散射振幅计算中的n点K恒等式，引入G函数生成广义K恒等式，指出其最低阶对应散射方程，推测高阶可用于计算高阶或多张量硬弦散射振幅。
AI 中文摘要
我们在单张量硬弦散射振幅（HSSA）的计算中，明确证明了我们先前提出的n点K恒等式。这些K恒等式是在n点HSSA的鞍点计算中获得弦标度行为的关键，同时也与零范数态退耦的计算一致匹配。此外，我们引入一个G函数来生成无穷多组广义K恒等式（GKI）。这些GKI的最低阶组是用于CHY形式论中场论振幅计算的散射方程（SE）；次领头阶组是先前用于单张量HSSA计算的K恒等式。我们推测，这些GKI的高阶组可用于计算高阶HSSA和/或多张量HSSA。
英文摘要
We prove explicitly the n-point K-identities we proposed previously in the calculation of one tensor hard string scattering amplitudes (HSSA). These K-identities were the key to obtain the stringy scaling behavior in the saddle point calculation of the n-point HSSA and, on the other hand, to consistently match with the calculation of decoupling of zero norm states. Moreover, we introduce a G function to generate an infinite set of generalized K-identities (GKI). The lowest order set of these GKI is the scattering equations (SE) used in the calculation of field theory amplitudes in the CHY formalism. The next to leading order set of these GKI is the K-identities used previously in the calculation of one tensor HSSA. We expect that the higher order sets of these GKI can find applications in calculating other HSSA.
Comments16 pages, no figure
