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Renormalization of Feynman amplitudes and parametric integral representation

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Abstract

A new substraction formula is presented to renormalize Feynman amplitudes written in Schwinger's integral representation.

The substractions are generated by an operator acting on the integrand, which only depends on the total number of internal lines but is completely independent of the structure of the graph.

This formulation is also valid for non-renormalizable theories and is shown to reduce to Zimmermann'sR-operation for scalar theories. It satisfies in any case Bogoliubov's recursive formula and yields an explicit tool for actual computations of renormalized Feynman amplitudes with a minimal number of substractions.

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References

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Authors and Affiliations

  1. Service de Physique Théorique, Centre d'Etudes Nucléaires de Saclay, Gif-sur-Yvette, France

    M. C. Bergère & J. B. Zuber

Authors
  1. M. C. Bergère
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  2. J. B. Zuber
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Bergère, M.C., Zuber, J.B. Renormalization of Feynman amplitudes and parametric integral representation. Commun.Math. Phys. 35, 113–140 (1974). https://doi.org/10.1007/BF01646611

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  • DOI: https://doi.org/10.1007/BF01646611

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