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
本文首次基于Mathematica软件平台，按照特霍夫特-韦尔特曼方案（'t Hooft-Veltman scheme）实现了任意时空维度下的γ代数（γ-algebra）。本系统是目前唯一一款依托通用计算机代数系统、可在任意维度下对γ5（γ_5）问题开展严格数学一致性处理的工具。TRACER软件包（TRACER package）既可对γ代数对象串执行纯代数运算与求迹操作，还提供了一系列用于执行reord...等操作的实用函数。

程序名称：TRACER
目录编号：ACJW_v1_0

问题属性
依据特霍夫特-韦尔特曼方案，或采用反交换γ5的方式，可在任意时空维度下对γ矩阵（gamma-matrices）的字符串与迹进行严格数学一致的计算。本程序还实现了多款用于修正最终表达式的附加功能函数。

该程序在Mendeley数据的CPC仓库中的版本为：
ACJW_v1_0; TRACER; 10.1016/0010-4655(93)90097-V

本程序源自贝尔法斯特女王大学托管的CPC程序库（1969-2019）