Feynman Diagrams and Lax Pair Equations

Details Feynman Diagrams and Lax Pair Equations Feynman Diagrams and Lax Pair Equations

2009-05-14

arxiv.org/abs/0905.2271v1

Physics

Mathematical Physics

Rewritten and expanded version of math-ph/0611014

Scientific paper

We find a Lax pair equation corresponding to the Connes-Kreimer Birkhoff
factorization of the character group of a Hopf algebra. This flow preserves the
locality of counterterms. In particular, we obtain a flow for the character
given by Feynman rules, and relate this flow to the Renormalization Group Flow.

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