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Tracer Version 1.1: Mathematica package for gamma-Algebra in Arbitrary dimensions

Matthias Jamin
Organization: Technical University, Munich
Department: Department of Physics
Markus E. Lautenbacher
Organization: Physics Department, Technical University, Munich
Journal / Anthology

Computer Physics Communications
Year: 1993
Volume: 74
Page range: 265-288

This paper describes the first MATHEMATICA implementation of gamma-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 gamma5-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 gamma-algebra objects. In addition, it provides a set of utility functions for reordering, simplifying and improving the readability of the output. Optionally the output can be obtained in a form suitable to be fed into a TEX system for high quality text processing. As a whole, the TRACER package is intended as a computerized aid to a researcher working on higher order corrections in Relativistic Quantum Field Theories. A short comparison of procedural versus rule-based programming approaches is given and the discussion is supplemented by a toy implementation of the gamma-algebra in rule-based style. The paper describes in detail the usage of the TRACER package and for further illustration a correlation function of two weak currents is calculated with the aid of TRACER. Finally, data on the performance of TRACER on some common platforms are given.

*Science > Physics > Quantum Physics
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