Combinatorics of renormalization as matrix calculus
High Energy Physics - Theory
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
We give a simple presentation of the combinatorics of renormalization in perturbative quantum field theory in terms of triangular matrices. The prescription, that may be of calculational value, is derived from first principles, to wit, the ``Birkhoff decomposition'' in the Hopf-algebraic description of renormalization by Connes and Kreimer.
Cite
@article{arxiv.hep-th/0508154,
title = {Combinatorics of renormalization as matrix calculus},
author = {K. Ebrahimi-Fard and J. M. Gracia-Bondia and L. Guo and J. C. Varilly},
journal= {arXiv preprint arXiv:hep-th/0508154},
year = {2007}
}
Comments
10 pages, revised version, typos corrected, to appear in Phys. Lett. B