On the antipode of Kreimer's Hopf algebra

Details On the antipode of Kreimer's Hopf algebra On the antipode of Kreimer's Hopf algebra

1999-12-19

arxiv.org/abs/hep-th/9912170v2

Mod.Phys.Lett. A16 (2001) 1427-1434

Physics

High Energy Physics

High Energy Physics - Theory

Plain TeX, 7 pages, uses XyPic fonts; minor changes, 2 references added

Scientific paper

10.1142/S0217732301004674

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.

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