From local perturbation theory to Hopf and Lie algebras of Feynman graphs

Authors
Connes, A Kreimer, D
Citation
A. Connes et D. Kreimer, From local perturbation theory to Hopf and Lie algebras of Feynman graphs, LETT MATH P, 56(1), 2001, pp. 3-15
Citations number
23
Categorie Soggetti
Physics
Journal title
LETTERS IN MATHEMATICAL PHYSICS
ISSN journal
03779017 → ACNP
Volume
56
Issue
1
Year of publication
2001
Pages
3 - 15
Database
ISI
SICI code
0377-9017(200104)56:1<3:FLPTTH>2.0.ZU;2-C
Abstract
We review the algebraic structures imposed on the renormalization procedure in terms of Hopf and Lie algebras of Feynman graphs, and exhibit the conne ction to diffeomorphisms of physical observables.