Renormalization of gauge fields using Hopf algebras
Mathematical Physics
2015-05-13 v1 math.MP
Abstract
We describe the Hopf algebraic structure of Feynman graphs for non-abelian gauge theories, and prove compatibility of the so-called Slavnov-Taylor identities with the coproduct. When these identities are taken into account, the coproduct closes on the Green's functions, which thus generate a Hopf subalgebra.
Cite
@article{arxiv.0801.3170,
title = {Renormalization of gauge fields using Hopf algebras},
author = {Walter D. van Suijlekom},
journal= {arXiv preprint arXiv:0801.3170},
year = {2015}
}
Comments
16 pages, 1 figure; uses feynmp. To appear in "Recent Developments in Quantum Field Theory". Eds. B. Fauser, J. Tolksdorf and E. Zeidler. Birkhauser Verlag, Basel 2008