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arXiv 2608.19418hep-th

类光Wilson圈关联子的BCFW递推关系

BCFW recursion for light-like Wilson loop correlators

James Drummond, Matthew Rochford, Rowan Wright

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中文总结 AI 辅助

该研究将全纯联结思想应用于N=4超杨-米尔斯理论,推广BCFW递推关系至多Wilson圈关联子,发现新项并结合Q̄方程验证,最终导出色精确Wilson圈关联子的递推关系。

中文摘要 AI 辅助

我们将全纯联结(arXiv:1101.1329)的思想应用于N=4超杨-米尔斯理论中多个类光圈算子的关联子。这使我们能将平面散射振幅被积函数或平面理论中单个Wilson圈的BCFW递推关系,推广到多个圈算子的关联子。我们发现了一个新项,它将单个圈的递推关系纳入多个圈算子的关联子关系中。我们用多个例子阐明该递推关系,并强调其与多个圈算子的Q̄方程结合的适用性。最后,我们再次利用全纯联结导出了色精确Wilson圈关联子的递推关系。

英文摘要

We apply the idea of holomorphic linking (arXiv:1101.1329) to correlators of multiple light-like loop operators in $\mathcal{N}=4$ super Yang-Mills theory. This allows us to extend the BCFW recursion relations for planar scattering amplitude integrands or single Wilson loops in the planar theory to correlators of multiple loop operators. We discover a novel term which feeds the recursion for single loops into the relation for multiple loop operators. We illustrate the recursion relations with several examples and highlight its applicability in combination with the $\bar{Q}$-equation for multiple loop operators. Finally, we again employ holomorphic linking to derive a recursion relation for colour-exact Wilson loop correlators.

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