/

The combinatorics of Bogoliubov's recursion in renormalization

Kurusch Ebrahimi-Fard, Dominique Manchon
Arxiv ID: 0710.3675Last updated: 12/8/2020
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.

PaperStudio AI Chat

I'm your research assistant! Ask me anything about this paper.

Related papers

About
Pricing
Commercial Disclosure
Contact
© 2023 Paper Studio™. All Rights Reserved.