Integrable Renormalization II: the general case

Details Integrable Renormalization II: the general case Integrable Renormalization II: the general case

2004-03-10

arxiv.org/abs/hep-th/0403118v1

Annales Henri Poincare 6 (2005) 369-395

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, 1 figure

Scientific paper

10.1007/s00023-005-0211-2

We extend the results we obtained in an earlier work. The cocommutative case of rooted ladder trees 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 Rota-Baxter 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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