Renormalization of gauge fields: A Hopf algebra approach
High Energy Physics - Theory
2008-11-26 v1 Mathematical Physics
math.MP
Abstract
We study the Connes-Kreimer Hopf algebra of renormalization in the case of gauge theories. We show that the Ward identities and the Slavnov-Taylor identities (in the abelian and non-abelian case respectively) are compatible with the Hopf algebra structure, in that they generate a Hopf ideal. Consequently, the quotient Hopf algebra is well-defined and has those identities built in. This provides a purely combinatorial and rigorous proof of compatibility of the Slavnov-Taylor identities with renormalization.
Keywords
Cite
@article{arxiv.hep-th/0610137,
title = {Renormalization of gauge fields: A Hopf algebra approach},
author = {Walter D. van Suijlekom},
journal= {arXiv preprint arXiv:hep-th/0610137},
year = {2008}
}
Comments
24 pages; uses feynmf