Communications in Mathematical Physics

, Volume 199, Issue 1, pp 203–242

Hopf Algebras, Renormalization and Noncommutative Geometry

  • Alain Connes
  • Dirk Kreimer

DOI: 10.1007/s002200050499

Cite this article as:
Connes, A. & Kreimer, D. Comm Math Phys (1998) 199: 203. doi:10.1007/s002200050499

Abstract:

We explore the relation between the Hopf algebra associated to the renormalization of QFT and the Hopf algebra associated to the NCG computations of tranverse index theory for foliations.

Copyright information

© Springer-Verlag Berlin Heidelberg 1998

Authors and Affiliations

  • Alain Connes
    • 1
  • Dirk Kreimer
    • 2
  1. 1.IHES, 35, route de Chartres, F-91440 Bures-sur-Yvette, FranceFR
  2. 2.Department of Physics, Universität Mainz, Staudingerweg, 55099 Mainz, GermanyDE