Feynman Diagrams and Lax Pair Equations

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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.
Rewritten and expanded version of math-ph/0611014

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Mathematical Physics, High Energy Physics - Theory, 81T15, 17B80

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http://salesiana.dossiersoluciones.com/handle/123456789/230346

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0905.2271
 http://arxiv.org/abs/0905.2271

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arXiv