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Hopf Algebras, Renormalization and Noncommutative Geometry

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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.

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Authors and Affiliations

  1. IHES, 35, route de Chartres, F-91440 Bures-sur-Yvette, France, , , , , , FR

    Alain Connes

  2. Department of Physics, Universität Mainz, Staudingerweg, 55099 Mainz, Germany, , , , , , DE

    Dirk Kreimer

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  1. Alain Connes
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  2. Dirk Kreimer
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Received: 14 August 1998/ Accepted: 5 October 1998

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Connes, A., Kreimer, D. Hopf Algebras, Renormalization and Noncommutative Geometry. Comm Math Phys 199, 203–242 (1998). https://doi.org/10.1007/s002200050499

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  • DOI: https://doi.org/10.1007/s002200050499

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