Computer Physics Communications Program LibraryPrograms in Physics & Physical Chemistry |

[Licence| Download | New Version Template] adwb_v1_0.tar.gz(15 Kbytes) | ||
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Manuscript Title: Package for Calculations and Simplifications of Expressions with
Dirac Matrixes (MatrixExp) | ||

Authors: V. A. Poghosyan | ||

Program title: MatrixExp | ||

Catalogue identifier: ADWB_v1_0Distribution format: tar.gz | ||

Journal reference: Comput. Phys. Commun. 170(2005)287 | ||

Programming language: MATHEMATICA. | ||

Computer: PC Pentium. | ||

Operating system: Windows. | ||

RAM: loading the package uses approx. 3'500'000 bytes of RAM. However memory
required for calculations depends heavily on the expressions in the view, as the
package uses recursive functions, and MATHEMATICA dynamically allocates memory.
Package has been tested to work on PC Pentium II 233MHz with 128Mb of memory
calculating typical diagrams of contemporary calculations. | ||

Keywords: Computer algebra, Particle Physics, Computing, Quantum Field Theory, High energy physics calculation, Gamma-algebra, Dimensional Regularization. | ||

PACS: 13.10.+q, 13.90.+i, 07.05.Bx, 14.40.Nd. | ||

Classification: 4.4, 5. | ||

Nature of problem:Feynman diagram calculation, simplification of expressions with γ-matrixes. | ||

Solution method:Analytic transformations, dimensional regularization, Feynman parameterization. | ||

Restrictions:MatrixExp package works only with single line of expressions (G[l1,...]), in contrary with Tracer package which works with multiple lines, i.e. the following is possible in Tracer, but not in MatrixExp, G[l1,...]**G[l2,...]**G[l3,...]..., which will return the result of G[l1,...]**G[l1,...]**G[l1,...]... | ||

Running time:Seconds for expressions with several different γ-matrixes on Pentium IV 1.8GHz and of the order of a minute on Pentium II 233MHz. Calculation times rise with the number of matrices. |

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