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

arXiv eprints
 Pub Date:
 June 2006
 arXiv:
 arXiv:mathph/0606039
 Bibcode:
 2006math.ph...6039E
 Keywords:

 Mathematical Physics;
 High Energy Physics  Theory
 EPrint:
 22 pages, typos corrected