Programs in Physics & Physical Chemistry
|[Licence| Download | New Version Template] afbb_v1_0.tar.gz(6728 Kbytes)|
|Manuscript Title: New Developments in FeynCalc 9.0|
|Authors: Vladyslav Shtabovenko, Rolf Mertig, Frederik Orellana|
|Program title: FeynCalc|
|Catalogue identifier: AFBB_v1_0|
Distribution format: tar.gz
|Journal reference: Comput. Phys. Commun. 207(2016)432|
|Programming language: Wolfram Mathematica 8 and higher.|
|Computer: Any computer that can run Mathematica 8 and higher.|
|Operating system: Windows, Linux, OS X.|
|Keywords: High energy physics, Feynman diagrams, Loop integrals, Dimensional regularization, Dirac algebra, Color algebra, Tensor reduction.|
|Classification: 4.4, 5, 11.1.|
External routines: FeynArts  (Included)
Nature of problem:
Symbolic semi-automatic evaluation of Feynman diagrams and algebraic expressions in quantum field theory.
Algebraic identities that are needed for evaluation of Feynman
Reasons for new version:
Compatibility with Mathematica 10, improved performance and new features regarding manipulation of loop integrals.
Slow performance for multi-particle processes (beyond 1 → 2 and 2 → 2) and processes that involve large (> 100) number of Feynman diagrams.
The original FeynCalc paper was published in Comput. Phys. Commun., 64(1991)345, but the code was not included in the Library at that time. Reasons for the new version: Compatibility with Mathematica 10, improved performance and new features regarding manipulation of loop integrals. Summary of revisions: Tensor reduction of 1-loop integrals is extended to arbitrary rank and multiplicity with proper handling of integrals with zero Gram determinants. Tensor reduction of multi-loop integrals is now also available (except for cases with zero Gram determinants). Partial fractioning algorithm of  is added to decompose loop integrals into terms with linearly independent propagators. Feynman diagrams generated by FeynArts can be directly converted into FeynCalc input for subsequent evaluation.
Depends on the complexity of the calculation. Seconds for few simple tree level and 1-loop Feynman diagrams; Minutes or more for complicated diagrams.
|||F. Feng, $Apart: A Generalized Mathematica Apart Function, Comput. Phys. Commun., 183, 2158-2164, (2012), arXiv:1204.2314.|
|||T. Hahn, Generating Feynman Diagrams and Amplitudes with FeynArts 3, Comput. Phys. Commun., 140, 418-431, (2001), arXiv:hep-ph/0012260.|
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