TRACER version 1.1 A mathematica package for γ-algebra in arbitrary dimensions

Abstract
This paper describes the first MATHEMATICA implementation of γ-algebra in arbitrary space-time dimensions according to the 't Hooft-Veltman scheme. It is the only system based on a general purpose computer algebra system treating the γ_5 -problem mathematically consistently in arbitrary dimensions. The TRACER package is capable of doing just purely algebraic manipulations as well as trace operations on strings of γ-algebra objects. In addition, it provides a set of utility functions for reord...

Title of program: TRACER
Catalogue Id: ACJW_v1_0

Nature of problem
Strings and traces of gamma-matrices are calculated mathematically consistent in arbitrary space-time dimensions according to the 't Hooft- Veltman scheme, or alternatively with anticommuting gamma5. Many additional functions to modify resulting expressions are implemented.

Versions of this program held in the CPC repository in Mendeley Data
ACJW_v1_0; TRACER; 10.1016/0010-4655(93)90097-V

This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)

摘要：本论文阐述了根据Hooft-Veltman方案在任意时空维度中实现γ-代数的首个MATHEMATICA版本。该系统为唯一一个基于通用计算机代数系统的系统，能够在任意维度中对γ_5问题进行数学上的一致处理。TRACER软件包不仅能够进行纯代数操作，还能对γ-代数对象的字符串进行迹运算。此外，它还提供了一套实用函数，用于重新排列和修改结果表达式。

程序标题：TRACER

目录编号：ACJW_v1_0

问题性质：根据Hooft-Veltman方案或使用反交换的γ5，在任意时空维度中，以数学上的一致性计算γ-矩阵的字符串和迹。该程序实现了许多修改结果表达式的附加功能。

Mendeley数据中CPC仓库中保存的此程序版本：ACJW_v1_0; TRACER; 10.1016/0010-4655(93)90097-V

该程序已从贝尔法斯特女王大学保存的CPC程序库中导入（1969-2019）。