论文标题
Feynman积分的集成性
Integrability for Feynman Integrals
论文作者
论文摘要
我们简要概述了Feynman积分的对称性。在简短地介绍了Yangian和整合性之后，我们通过ADS/CFT的渔网限制激发了Feynman积分的综合结构的出现。我们讨论了在四个维度上的无质量渔网的扬吉微分方程，以及对大规模繁殖者和通用维度的概括。我们还评论了与动量空间共形对称性的关系以及维度正则化的示例。最后，我们在两个时空维度中绘制了最新的渔网积分应用程序，并用卡拉比Yau几何形状的时期积分对扬吉不变的奇怪识别。
We give a brief overview of the Yangian symmetry of Feynman integrals. After a short introduction to the Yangian and integrability, we motivate the emergence of integrable structures for Feynman integrals via the fishnet limit of AdS/CFT. We discuss the resulting Yangian differential equations for massless fishnets in four dimensions as well as generalizations to massive propagators and generic dimensions. We also comment on the relation to momentum space conformal symmetry and on examples in dimensional regularization. Finally we sketch the recent application to fishnet integrals in two spacetime dimensions and the curious identification of Yangian invariants with period integrals of Calabi-Yau geometries.
