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Evaluating Feynman Integrals

Part of the book series: Springer Tracts in Modern Physics ((STMP,volume 211))

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Abstract

Each Feynman integral presented here can be evaluated straightforwardly by use of alpha or Feynman parameters. Results are presented for the ‘Euclidean’ dependence, −k 2, of the denominators, which is more natural when the powers of propagators are general complex numbers. As usual, −k 2 is understood in the sense of −k 2 − i0, etc. Moreover, denominators with a linear dependence on k are also understood in this sense, e.g. 2p ⋅k 2pk−i0, although sometimes this i0 dependence is explicitly indicated to avoid misunderstanding.

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© 2005 Springer-Verlag Berlin/Heidelberg

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Smirnov, V.A. (2005). Tables. In: Evaluating Feynman Integrals. Springer Tracts in Modern Physics, vol 211. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44703-0_8

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  • DOI: https://doi.org/10.1007/978-3-540-44703-0_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-23933-8

  • Online ISBN: 978-3-540-44703-0

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