On the Hopf algebra structure of perturbative quantum field theories
q-alg
2008-11-26 v4 High Energy Physics - Theory
Quantum Algebra
Abstract
We show that the process of renormalization encapsules a Hopf algebra structure in a natural manner. This sheds light on the recently proposed connection between knots and renormalization theory.
Cite
@article{arxiv.q-alg/9707029,
title = {On the Hopf algebra structure of perturbative quantum field theories},
author = {Dirk Kreimer},
journal= {arXiv preprint arXiv:q-alg/9707029},
year = {2008}
}
Comments
LaTeX, 23pages, uses epsf for 5 Figs., also available via http://dipmza.physik.uni-mainz.de/~kreimer/hopfn.ps, references updated