TY - JOUR
T1 - Integrable renormalization II
T2 - The general case
AU - Ebrahimi-Fard, Kurusch
AU - Guo, Li
AU - Kreimer, Dirk
N1 - Funding Information:
The first author would like to thank the Ev. Studienwerk for financial support. Also the I.H.É.S. and its warm hospitality is greatly acknowledged. We would like to thank Prof. Ivan Todorov, Prof. Olivier Babelon, and Igor Mencattini for valuable discussions, and helpful comments. D.K. is in parts supported by NSF grant DMS-0401262.
PY - 2005/4
Y1 - 2005/4
N2 - 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.
AB - 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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U2 - 10.1007/s00023-005-0211-2
DO - 10.1007/s00023-005-0211-2
M3 - Article
AN - SCOPUS:18244401353
SN - 1424-0637
VL - 6
SP - 369
EP - 395
JO - Annales Henri Poincare
JF - Annales Henri Poincare
IS - 2
ER -