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`t Hooft-Veltman`方案，实现了任意时空维度下γ代数（γ-algebra）的Mathematica程序。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）问题进行严格数学一致性处理的工具。TRACER程序包可对γ代数对象串执行纯代数运算与求迹操作，此外还提供了一系列实用函数以进行reord……（原文内容截断）。

**程序题名**：TRACER
**目录编号**：ACJW_v1_0

**问题性质**
本程序可依据`t Hooft-Veltman`方案，或采用反对易γ₅的设定，在任意时空维度下对γ矩阵乘积串及其迹进行严格数学一致的计算。程序还内置了多种用于修正最终输出表达式的附加功能函数。

**Mendeley数据中CPC程序库存储的该程序版本**：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年）**