A Hopf algebra deformation approach to renormalization
High Energy Physics - Theory
2007-05-23 v1
Abstract
We investigate the relation between Connes-Kreimer Hopf algebra approach to renomalization and deformation quantization. Both approaches rely on factorization, the correspondence being established at the level of Wiener-Hopf algebras, and double Lie algebras/Lie bialgebras, via r-matrices. It is suggested that the QFTs obtained via deformation quantization and renormalization correspond to each other in the sense of Kontsevich/Cattaneo-Felder.
Cite
@article{arxiv.hep-th/0307112,
title = {A Hopf algebra deformation approach to renormalization},
author = {Lucian M. Ionescu and Michael Marsalli},
journal= {arXiv preprint arXiv:hep-th/0307112},
year = {2007}
}
Comments
AMS-LaTex, 8 pages