Package for calculations and simplifications of expressions with Dirac matrices (MatrixExp)

Abstract This paper describes a package for calculations of expressions with Dirac matrices. Advantages over existing similar packages are described. MatrixExp package is intended for simplification of complex expressions involving γ-matrices, providing such tools as automatic Feynman parameterization, integration in d-dimensional space, sorting and grouping of results in a given order. Also, in comparison with the existing similar package Tracer, the presented package MatrixExp has more enhanced inpu... Title of program: MatrixExp Catalogue Id: ADWB_v1_0 Nature of problem Feynman diagram calculation, simplification of expressions with γ-matrixes. Versions of this program held in the CPC repository in Mendeley Data ADWB_v1_0; MatrixExp; 10.1016/j.cpc.2005.06.002 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2018)摘要 本文介绍了一款用于狄拉克矩阵(Dirac matrices)表达式计算的程序包，并阐述了其相较于现有同类程序包的优势。MatrixExp程序包旨在简化含γ矩阵(γ-matrices)的复杂表达式，可提供自动费曼参数化(Feynman parameterization)、d维空间(d-dimensional space)积分、按指定顺序对结果进行排序与分组等功能。此外，相较于现有同类程序包Tracer，本程序包MatrixExp具备更强化的输入处理能力（原文此处存在截断）。 程序名称：MatrixExp 目录编号：ADWB_v1_0 核心问题：费曼图(Feynman diagram)计算、含γ矩阵的表达式化简。 存放在Mendeley Data的CPC程序库中的该程序版本：ADWB_v1_0; MatrixExp; 10.1016/j.cpc.2005.06.002 本程序源自贝尔法斯特女王大学维护的CPC程序库（1969-2018年）