论文标题

部分可观测时空混沌系统的无模型预测

Bananas of equal mass: any loop, any order in the dimensional regularisation parameter

论文作者

Pögel, Sebastian, Wang, Xing, Weinzierl, Stefan

论文摘要

我们描述了一种系统的方法,用于将$ l $ - 环的质量香蕉积分组成的微分方程施加到$ \ varepsilon $ factoris的形式中。在特定点处的已知边界值,我们会系统地获得订单$ j $在尺寸正则化参数$ \ varepsilon $中的订单$ j $中的项。该方法基于卡拉比(Calabi-Yau)操作员的特性,尤其是基于自以为是的。

We describe a systematic approach to cast the differential equation for the $l$-loop equal mass banana integral into an $\varepsilon$-factorised form. With the known boundary value at a specific point we obtain systematically the term of order $j$ in the expansion in the dimensional regularisation parameter $\varepsilon$ for any loop $l$. The approach is based on properties of Calabi-Yau operators, and in particular on self-duality.

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