On matrix differential equations in the Hopf algebra of renormalization
arXiv:math-ph/0606039 · doi:10.4310/ATMP.2006.v10.n6.a3
Abstract
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.
22 pages, typos corrected