Abstract.
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 double Rota-Baxter 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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Communicated by Vincent Rivasseau
submitted 16/03/04, accepted 09/09/04
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Ebrahimi-Fard, K., Guo, L. & Kreimer, D. Integrable Renormalization II: The General Case. Ann. Henri Poincaré 6, 369–395 (2005). https://doi.org/10.1007/s00023-005-0211-2
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DOI: https://doi.org/10.1007/s00023-005-0211-2