On Kreimer's Hopf algebra structure of Feynman graphs

Details On Kreimer's Hopf algebra structure of Feynman graphs On Kreimer's Hopf algebra structure of Feynman graphs

1998-05-16

arxiv.org/abs/hep-th/9805098v4

Eur.Phys.J.C7:697-708,1999

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, LaTeX2e, requires feynmf package to draw Feynman graphs (see log file for additional information). Following an idea

Scientific paper

10.1007/s100529801037

We reinvestigate Kreimer's Hopf algebra structure of perturbative quantum field theories with a special emphasis on overlapping divergences. Kreimer first disentangles overlapping divergences into a linear combination of disjoint and nested ones and then tackles that linear combination by the Hopf algebra operations. We present a formulation where the Hopf algebra operations are directly defined on any type of divergence. We explain the precise relation to Kreimer's Hopf algebra and obtain thereby a characterization of their primitive elements.

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