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 all top 5 Cited by 17 Authors 1 Azizi, Azizollah 1 Cyrol, Anton K. 1 Flitney, Adrian P. 1 Gnendiger, Christoph 1 Haisch, Ulrich 1 Hala, Amando 1 Huber, Markus Q. 1 Lučić, Vladan 1 Mitter, Mario 1 Oleari, Carlo 1 Olyaei, Tahere 1 Poghosyan, V. A. 1 Reina, Laura 1 Rossi, Marco 1 Signer, Adrian 1 Stöckinger, Dominik 1 Strodthoff, Nils 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 all top 5 Cited in 7 Fields 9 Quantum theory (81-XX) 3 Numerical analysis (65-XX) 2 Partial differential equations (35-XX) 2 Computer science (68-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year