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RenormalizedG-convolution ofN-point functions in quantum field theory: Convergence in the Euclidean case II

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Abstract

The notion of Feynman amplitude associated with a graphG in perturbative quantum field theory admits a generalized version in which each vertexv ofG is associated with ageneral (non-perturbative)n v -point functionH n v , nvdenoting the number of lines which are incident tov inG. In the case where no ultraviolet divergence occurs, this has been performed directly in complex momentum space through Bros-Lassalle'sG-convolution procedure.

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Authors and Affiliations

  1. CEN, Saclay, F-91190, Gif-sur-Yvette, France

    Jacques Bros

  2. Fakultät für Physik, Universität Bielefeld, D-4800, Bielefeld 1, Federal Republic of Germany

    Marietta Manolessou-Grammaticou

Authors
  1. Jacques Bros
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  2. Marietta Manolessou-Grammaticou
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Communicated by K. Osterwalder

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Bros, J., Manolessou-Grammaticou, M. RenormalizedG-convolution ofN-point functions in quantum field theory: Convergence in the Euclidean case II. Commun.Math. Phys. 72, 207–237 (1980). https://doi.org/10.1007/BF01197549

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  • DOI: https://doi.org/10.1007/BF01197549

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