论文标题

宇宙车轮:从可合转到Galois共同行动

Cosmic Wheels: From integrability to the Galois coaction

论文作者

Gürdoğan, Ömer

论文摘要

我们认为,Feynman循环积分作为集成系统的描述与它们的动机性能和宇宙Galois组的动作密切相关。我们展示了在渔网图系列中如何直接遵循量子光谱曲线形式主义中Q-功能的迭代结构。使用此观察结果,我们猜想了进入这些时期的“数字的微分方程”。

We argue that the description of Feynman loop integrals as integrable systems is intimately connected with their motivic properties and the action of the Cosmic Galois Group. We show how in the case of a family of fishnet graphs, coaction relations between graphs follow directly from iterative constructions of Q-functions in the Quantum Spectral Curve formalism. Using this observation we conjecture a "differential equation for numbers" that enter these periods.

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