On matrix differential equations in the Hopf algebra of renormalization

Details On matrix differential equations in the Hopf algebra of renormalization On matrix differential equations in the Hopf algebra of renormalization

2006-06-16

arxiv.org/abs/math-ph/0606039v2

Adv. Theor. Math. Phys. 10 (2006) 879-913

Physics

Mathematical Physics

22 pages, typos corrected

Scientific paper

We establish Sakakibara's differential equations in a matrix setting for the
counter term (respectively renormalized character) in Connes-Kreimer's Birkhoff
decomposition in any connected graded Hopf algebra, thus including Feynman
rules in perturbative renormalization as a key example.

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