Structures in Feynman Graphs -Hopf Algebras and Symmetries
High Energy Physics - Theory
2011-04-20 v3 Quantum Algebra
Abstract
We review the combinatorial structure of perturbative quantum field theory with emphasis given to the decomposition of graphs into primitive ones. The consequences in terms of unique factorization of Dyson--Schwinger equations into Euler products are discussed.
Keywords
Cite
@article{arxiv.hep-th/0202110,
title = {Structures in Feynman Graphs -Hopf Algebras and Symmetries},
author = {Dirk Kreimer},
journal= {arXiv preprint arXiv:hep-th/0202110},
year = {2011}
}
Comments
41 pages, epsf figures, talk given at the "Dennisfest", "Graphs and Patterns in Mathematics and Theoretical Physics, Stony Brook, June 2001, final version, to appear in the Proceedings