标题： 从共形积分得到的费曼图 显示英文标题

标题： Feynman Diagrams from Conformal Integrals

摘要： 我们证明了涉及内部无质量场的动量空间费曼图可以表示为共形积分。这导致所有费曼图被分类为由共形积分标记的共形族。计算每个族中的共形积分足以精确计算该族中的所有费曼图。利用某些共形积分已知的精确结果，我们给出了相应族中其他费曼图的解。这些是有限或按维度正则化的费曼图在正则化参数的所有阶次上的解答。 显示英文摘要

摘要： We show that momentum space Feynman diagrams involving internal massless fields can be cast as conformal integrals. This leads to a classification of all Feynman diagrams into conformal families, labelled by conformal integrals. Computing the conformal integral in each family suffices to compute all the Feynman diagrams in the family exactly. Using known exact results for some conformal integrals, we present the solutions to the other Feynman diagrams in the corresponding families. These are answers to either finite or dimensionally regularized Feynman diagrams to all orders in the regularization parameter.