Feynman Diagrams and Lax Pair Equations

Physics – Mathematical Physics

Scientific paper

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Scientific paper

We find a Lax pair equation corresponding to the Connes-Kreimer Birkhoff
factorization of the character group of the Hopf algebra of Feynman diagrams.
In particular, we obtain a flow for the character given by Feynman rules, and
present a worked example.

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