论文标题
动机Feynman积分简介
An Introduction to Motivic Feynman Integrals
论文作者
论文摘要
本文对标量扰动量子场理论中参数feynman积分的表示表示简短，作为动机时期。在Feynman图基础的代数几何和分类结构中，将动机Galois理论的应用到当前的研究状态进行了审查。详细分析了无标量$ ϕ^4 $量子场理论中原始对数差异的feynman图的示例。
This article gives a short step-by-step introduction to the representation of parametric Feynman integrals in scalar perturbative quantum field theory as periods of motives. The application of motivic Galois theory to the algebro-geometric and categorical structures underlying Feynman graphs is reviewed up to the current state of research. The example of primitive log-divergent Feynman graphs in scalar massless $ϕ^4$ quantum field theory is analysed in detail.
