Feynman graph generation and calculations in the Hopf algebra of Feynman graphs

Title of program: <b>feyngen, feyncop</b>
Catalogue Id: AEUB_v1_0

Nature of problem
Performing explicit calculations in quantum field theory Feynman graphs are indispensable.</br> Infinities arising in the perturbative calculations make renormalization necessary. On a combinatorial level renormalization can be encoded using a Hopf algebra [2] whose coproduct incorporates the BPHZ procedure.</br> Upcoming techniques initiated an interest in relatively large loop order Feynman diagrams which are not accessible by traditional tools.

Versions of this program held in the CPC repository in Mendeley Data
AEUB_v1_0; <b>feyngen, feyncop</b>; 10.1016/j.cpc.2014.07.023

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)

程序标题：<b>feyngen, feyncop</b>

目录编号：AEUB_v1_0

问题性质
在量子场论中进行显式计算时，费曼图是不可或缺的。在微扰计算中出现的无穷大使得重整化成为必要。在组合层面上，重整化可以通过一个 Hopf 代数（[2]）进行编码，其余子代数包含了 BPHZ 程序。新兴的技术引发了对相对较大环阶的费曼图的研究兴趣，这些图无法通过传统工具访问。

本程序版本存储在 Mendeley 数据的 CPC 程序库中
AEUB_v1_0; <b>feyngen, feyncop</b>; 10.1016/j.cpc.2014.07.023

该程序已从贝尔法斯特女王大学（1969-2018）持有的 CPC 程序库中导入。