Connes-Kreimer-Epstein-Glaser Renormalization
High Energy Physics - Theory
2007-05-23 v2
Abstract
Causal perturbative renormalization within the recursive Epstein-Glaser scheme involves extending, at each order, time-ordered operator-valued distributions to coinciding points. This is achieved by a generalized Taylor subtraction on test functions, which is transposed to distributions. We show how the Epstein-Glaser recursive construction can, by means of a slight modification of the Hopf algebra of Feynman graphs, be recast in terms of the new Connes-Kreimer algebraic setup for renormalization. This is illustrated for -theory.
Cite
@article{arxiv.hep-th/0006106,
title = {Connes-Kreimer-Epstein-Glaser Renormalization},
author = {J. M. Gracia-Bondia and S. Lazzarini},
journal= {arXiv preprint arXiv:hep-th/0006106},
year = {2007}
}
Comments
LaTeX, 34 pages, 8 included figures, Fig.5 has been changed, some improvements and one added reference