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High Performance Computing in Science and Engineering ‘12 pp 13–16Cite as

Parallel Computer Algebra and Feynman Integrals

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Abstract

Relativistic quantum field theories are the mathematical tools which are indispensable in modern particle physics. In particular in combination with perturbation theory, realized with the help of so-called Feynman diagrams, it is possible to make predictions which can be confronted with experiment.

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Notes

  1. 1.

    This is the report for the project ParFORM for the period June 2011–2012.

References

  1. FORM version 3.0 is described in: J. A. M. Vermaseren, “New features of FORM”, arXiv:math-ph/0010025;for more developments, see also: M. Tentyukov and J. A. M. Vermaseren, “Extension of the functionality of the symbolic program FORM by external software”, arXiv:cs.sc/0604052; FORM can be obtained from the distribution site at http://www.nikhef.nl/~form.

  2. M. Tentyukov, D. Fliegner, M. Frank, A. Onischenko, A. Retey, H. M. Staudenmaier and J. A. M. Vermaseren, “ParFORM: Parallel Version of the Symbolic Manipulation Program FORM”, arXiv:cs.sc/0407066; M. Tentyukov, H. M. Staudenmaier and J. A. M. Vermaseren, “ParFORM: Recent development”, Nucl. Instrum. Meth. A 559 (2006) 224. H. M. Staudenmaier, M. Steinhauser, M. Tentyukov, J. A. M. Vermaseren, “ParFORM”, Computeralgebra Rundbriefe 39 (2006) 19. See also http://www-ttp.physik.uni-karlsruhe.de/~parform.

  3. M. Tentyukov and J. A. M. Vermaseren, “The multithreaded version of FORM”, arXiv:hep-ph/0702279.

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  4. http://www.nikhef.nl/~form/formcvs.php

  5. J. Kuipers, T. Ueda, J. A. M. Vermaseren and J. Vollinga, arXiv:1203.6543 [cs.SC].

    Google Scholar 

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Author information

Authors and Affiliations

  1. Institut für Theoretische Teilchenphysik, Karlsruher Institut für Technologie, 76128, Karlsruhe, Germany

    P. A. Baikov, K. G. Chetyrkin, J. H. Kühn, P. Marquard, M. Steinhauser & T. Ueda

Authors
  1. P. A. Baikov
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  2. K. G. Chetyrkin
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  3. J. H. Kühn
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  4. P. Marquard
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  5. M. Steinhauser
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  6. T. Ueda
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Corresponding author

Correspondence to M. Steinhauser .

Editor information

Editors and Affiliations

  1. Zentrum für Informationsdienste, und Hochleistungsrechnen (ZIH), Technische Universität Dresden, Helmholtzstr. 10, Dresden, 01069, Germany

    Wolfgang E. Nagel

  2. , Abteilung für Angewandte Mathematik, Universität Freiburg, Hermann-Herder Str. 10, Freiburg, 79104, Germany

    Dietmar H. Kröner

  3. Höchstleistungsrechenzentrum, Stuttgart (HLRS), Universität Stuttgart, Nobelstr. 19, Stuttgart, 70569, Germany

    Michael M. Resch

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Baikov, P.A., Chetyrkin, K.G., Kühn, J.H., Marquard, P., Steinhauser, M., Ueda, T. (2013). Parallel Computer Algebra and Feynman Integrals. In: Nagel, W., Kröner, D., Resch, M. (eds) High Performance Computing in Science and Engineering ‘12. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33374-3_2

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