Communications in Mathematical Physics

, Volume 2, Issue 1, pp 301–326 | Cite as

Proof of the Bogoliubov-Parasiuk theorem on renormalization

  • Klaus Hepp


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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Copyright information

© Springer-Verlag 1966

Authors and Affiliations

  • Klaus Hepp
    • 1
  1. 1.The Institute for Advanced StudyPrinceton

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