## TRACER

swMATH ID: | 7361 |

Software Authors: | Matthias Jamin; Markus E. Lautenbacher |

Description: | TRACER version 1.1: A mathematica package for γ-algebra in arbitrary dimensions 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 γ5-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 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 γ-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. |

Homepage: | http://library.wolfram.com/infocenter/MathSource/2987/ |

Dependencies: | Mathematica |

Related Software: | Mathematica; FORM; FeynCalc; FeynArts; HEPMath; CompHep; FormTracer; FeynHelpers; Maple; FormCalc; LoopTools; LHAPDF; CrasyDSE; JaxoDraw; LaTeX; 2LEDM; GAMMA; Forcer; FeynCalcFormLink; GitHub |

Cited in: | 9 Publications |

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### Cited by 17 Authors

### Cited in 5 Serials

4 | Computer Physics Communications |

2 | Journal of High Energy Physics |

1 | International Journal of Theoretical Physics |

1 | Physics Letters. B |

1 | Physics Reports |

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