Integrable Renormalization II : the general case

  title={Integrable Renormalization II : the general case},
  author={S. I.H.{\'E}. and Le Bois-Marie},
  • S. I.H.É., Le Bois-Marie
  • Published 2004
We extend the results we obtained in an earlier work [1]. The cocommutative case of ladders is generalized to a full Hopf algebra of (decorated) rooted trees. For Hopf algebra characters with target space of Rota-Baxter type, the Birkhoff decomposition of renormalization theory is derived by using the RotaBaxter double construction, respectively Atkinson’s theorem. We also outline the extension to the Hopf algebra of Feynman graphs via decorated rooted trees. 
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