论文标题
GKZ超几何系统的Feynman积分关系
Feynman Integral Relations from GKZ Hypergeometric Systems
论文作者
论文摘要
我们在Gel'Fand-Kapranov-Zelevinsky（GKZ）超几何系统的框架中研究Feynman积分。后者定义了一类函数，其中Feynman积分作为特殊情况，对于任何数量的循环和运动量表。利用GKZ系统及其与$ d $模块理论的关系，我们提出了一种新的方法，用于获得主积分的微分方程。该注释基于较长的手稿ARXIV：2204.12983。
We study Feynman integrals in the framework of Gel'fand-Kapranov-Zelevinsky (GKZ) hypergeometric systems. The latter defines a class of functions wherein Feynman integrals arise as special cases, for any number of loops and kinematic scales. Utilizing the GKZ system and its relation to $D$-module theory, we propose a novel method for obtaining differential equations for master integrals. This note is based on the longer manuscript arXiv:2204.12983.
