论文标题
具有运动学的广义图拉普拉斯人和规范的Feynman积分
Generalised graph Laplacians and canonical Feynman integrals with kinematics
论文作者
论文摘要
对于任何具有外部半边和内部质量的图表，我们将非依赖粒子质量和动量的典型积分与构成典型的积分相关联，并且始终是有限的。它们是普遍的Feynman积分，可以满足图形关系，从图形中的收缩边缘获得的图形关系，以及涉及紫外线和红外子图的共同作用。它们的集成数是通过评估双重不变形式来定义的，该形式代表了一般线性群的共同体中的稳定类，该类别依赖于图形的外部运动学。
To any graph with external half-edges and internal masses, we associate canonical integrals which depend non-trivially on particle masses and momenta, and are always finite. They are generalised Feynman integrals which satisfy graphical relations obtained from contracting edges in graphs, and a coproduct involving both ultra-violet and infra-red subgraphs. Their integrands are defined by evaluating bi-invariant forms which represent stable classes in the cohomology of the general linear group on a generalised graph Laplacian matrix which depends on the external kinematics of a graph.
