Insertion and elimination: The doubly infinite Lie algebra of Feynman graphs

Annales Henri Poincare

Volumn 3, Issue 3, 2002, Pages 411-433

  Connes, A ^a   Kreimer, D ^b  

^a l'alimentation et l'Environnement   (France)

^b BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0036436361     PISSN: 14240637     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00023-002-8622-9     Document Type: Article

References (6)

1. D. Kreimer, On the Hopf algebra structure of perturbative quantum field theories, Adv. Theor. Math. Phys. 2, 303 (1998) [arXiv:q-alg/9707029].
2. A. Connes and D. Kreimer, Hopf algebras, renormalization and noncommutative geometry, Commun. Math. Phys. 199, 203 (1998) [arXiv:hep-th/9808042].
3. A. Connes and D. Kreimer, Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem, Commun. Math. Phys. 210, 249 (2000) [arXiv:hepth/9912092].
4. A. Connes and D. Kreimer, Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The beta-function, diffeomorphisms and the renormalization group, Commun. Math. Phys. 216, 215 (2001) [arXiv:hepth/0003188].
5. A. Connes and H. Moscovici, Hopf algebras, Cyclic Cohomology and the Transverse Index Theory, Commun. Math. Phys. 198, 199 (1998) [arXiv:math.DG/9806109].
6. Martin Markl, Steven Shnider and Jim Stasheff, Operads in Algebra, Topology and Physics, AMS, 2002.