On matrix differential equations in the Hopf algebra of renormalization
Mathematical Physics
2019-04-09 v2 High Energy Physics - Theory
math.MP
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.
Keywords
Cite
@article{arxiv.math-ph/0606039,
title = {On matrix differential equations in the Hopf algebra of renormalization},
author = {Kurusch Ebrahimi-Fard and Dominique Manchon},
journal= {arXiv preprint arXiv:math-ph/0606039},
year = {2019}
}
Comments
22 pages, typos corrected