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arXiv 2609.20493hep-thgr-qc

AdS$_4$中四点半幺正杨-米尔斯关联函数:全加、单减与MHV的全线递归

Four-Point Yang-Mills Correlators in AdS$_4$ from All-Line Recursion: All-Plus, Single-Minus and MHV

Dhruv Pathak

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中文总结 AI 辅助

本文回顾并应用Raju的全线递归关系,推导AdS$_4$中杨-米尔斯理论全加、单减及MHV构型的四点关联函数,并通过Witten图数值验证一致性,进而探讨其在高点函数中的应用。

中文摘要 AI 辅助

我们回顾了Raju在AdS${}_4$中杨-米尔斯理论的全线递归关系,并评估了全加、单减和MHV螺旋度构型的四点关联函数。我们指出了为获得这些关联函数所需的腿的相关形变。特别地,我们明确推导了贡献于所有三个关联函数的所有留数的表达式。我们还与通过Witten图计算得到的结果进行了显式数值检查,发现与我们的结果完全一致。最后,我们通过讨论这些递归在获得更高点函数方面的一些应用来结束。

英文摘要

We review Raju's all-line recursion relations for Yang-Mills theory in AdS${}_4$ and evaluate four-point correlators for the All-plus, Single-minus, and MHV helicity configurations. We point out the relevant deformation for the legs needed to obtain the correlators. In particular, we explicitly derive the expressions for all the residues contributing to all three correlators. We also perform an explicit numerical check with the results computed by Witten diagram computations and find perfect agreement with our results. Finally, we conclude by discussing some applications of these recursions for obtaining higher-point functions.

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