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Pré-Publication, Document De Travail Année : 2008

The combinatorics of Bogoliubov's recursion in renormalization

Résumé

We describe various combinatorial aspects of the Birkhoff-Connes-Kreimer factorization in perturbative renormalisation. The analog of Bogoliubov's preparation map on the Lie algebra of Feynman graphs is identified with the pre-Lie Magnus expansion. Our results apply to any connected filtered Hopf algebra, based on the pro-nilpotency of the Lie algebra of infinitesimal characters.

Dates et versions

hal-00483551 , version 1 (14-05-2010)

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Citer

Kurusch Ebrahimi-Fard, Dominique Manchon. The combinatorics of Bogoliubov's recursion in renormalization. 2008. ⟨hal-00483551⟩
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