The Hopf algebra of Connes and Kreimer and wave function renormalization

Citation
F. Girelli et al., The Hopf algebra of Connes and Kreimer and wave function renormalization, MOD PHY L A, 16(4-6), 2001, pp. 299-303
Citations number
3
Categorie Soggetti
Physics
Journal title
MODERN PHYSICS LETTERS A
ISSN journal
02177323 → ACNP
Volume
16
Issue
4-6
Year of publication
2001
Pages
299 - 303
Database
ISI
SICI code
0217-7323(20010228)16:4-6<299:THAOCA>2.0.ZU;2-5
Abstract
In this letter, we show how the Connes-Kreimer Hopf algebra morphism can be extended when taking into account the wave function renormalization. This leads us to a semidirect product of invertible power series by formal diffe omorphisms.