Feynman Diagrams and Lax Pair Equations
classification
🧮 math-ph
math.MP
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feynmancharacterdiagramspairalgebrabirkhoffconnes-kreimercorresponding
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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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