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Proof of the Bogoliubov-Parasiuk theorem on renormalization

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Abstract

A new proof is given that the subtraction rules ofBogoliubov andParasiuk lead to well-defined renormalized Green's distributions. A collection of the counter-terms in “trees” removes the difficulties with overlapping divergences and allows fairly simple estimates and closed expressions for renormalized Feynman integrals. The renormalization procedure, which also applies to conventionally non-renormalizable theories, is illustrated in the ϕ4-theory.

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References

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Author notes

  1. Klaus Hepp

    Present address: ETH, Zürich, Switzerland

Authors and Affiliations

  1. The Institute for Advanced Study, Princeton, New Jersey

    Klaus Hepp

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  1. Klaus Hepp
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Research supported by the National Science Foundation.

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Hepp, K. Proof of the Bogoliubov-Parasiuk theorem on renormalization. Commun.Math. Phys. 2, 301–326 (1966). https://doi.org/10.1007/BF01773358

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  • DOI: https://doi.org/10.1007/BF01773358

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