Unique factorization in perturbative QFT
High Energy Physics - Phenomenology
2009-11-07 v1
Abstract
We discuss factorization of the Dyson--Schwinger equations using the Lie- and Hopf algebra of graphs. The structure of those equations allows to introduce a commutative associative product on 1PI graphs. In scalar field theories, this product vanishes if and only if one of the factors vanishes. Gauge theories are more subtle: integrality relates to gauge symmetries.
Keywords
Cite
@article{arxiv.hep-ph/0211188,
title = {Unique factorization in perturbative QFT},
author = {D. Kreimer},
journal= {arXiv preprint arXiv:hep-ph/0211188},
year = {2009}
}
Comments
5pages, Talk given at "RadCor 2002 - Loops and Legs 2002", Kloster Banz, Germany, Sep 8-13, 2002