Integrable Renormalization II: the general case
High Energy Physics - Theory
2009-09-29 v1 Mathematical Physics
math.MP
Quantum Algebra
Abstract
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.
Cite
@article{arxiv.hep-th/0403118,
title = {Integrable Renormalization II: the general case},
author = {Kurusch Ebrahimi-Fard and Li Guo and Dirk Kreimer},
journal= {arXiv preprint arXiv:hep-th/0403118},
year = {2009}
}
Comments
26 pages, 1 figure