On the antipode of Kreimer's Hopf algebra
High Energy Physics - Theory
2009-10-31 v2
Abstract
We give a new formula for the antipode of the algebra of rooted trees, directly in terms of the bialgebra structure. The equivalence, proved in this paper, among the three available formulae for the antipode, reflects the equivalence among the Bogoliubov-Parasiuk-Hepp, Zimmermann, and Dyson-Salam renormalization schemes.
Cite
@article{arxiv.hep-th/9912170,
title = {On the antipode of Kreimer's Hopf algebra},
author = {Hector Figueroa and Jose M. Gracia-Bondia},
journal= {arXiv preprint arXiv:hep-th/9912170},
year = {2009}
}
Comments
Plain TeX, 7 pages, uses XyPic fonts; minor changes, 2 references added