论文信息 - Connes-Moscovici-Kreimer Hopf Algebras

Connes-Moscovici-Kreimer Hopf Algebras

These notes hopefully provide an aid to the comprehension of the Connes-Moscovici and Connes-Kreimer works, by isolating common mathematical features of the Connes-Moscovici, rooted trees, and Feynman-graph Hopf algebras (as a new special branch of the theory of Hopf algebras expected to become important). We discuss in particular the dual Milnor-Moore situation.

D. Kastler

[1] A. Connes,et al. Renormalization in Quantum Field Theory and the Riemann–Hilbert Problem I: The Hopf Algebra Structure of Graphs and the Main Theorem , 1999, hep-th/9912092.

[2] A. Connes,et al. Renormalization in Quantum Field Theory and the Riemann--Hilbert Problem II: The β-Function, Diffeomorphisms and the Renormalization Group , 1999, hep-th/9909126.