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On finite 4D quantum field theory in non-commutative geometry

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Abstract

The truncated 4-dimensional sphereS 4 and the action of the self-interacting scalar field on it are constructed. The path integral quantization is performed while simultaneously keeping theSO(5) symmetry and the finite number of degrees of freedom. The usual field theory UV-divergences are manifestly absent.

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Authors and Affiliations

  1. Institut for Theoretical Physics, University of Vienna, Boltzmanngasse 5, A-1090, Vienna, Austria

    H. Grosse

  2. Theory Division CERN, CH-1211, Geneya 23, Switzerland

    C. Klimčík

  3. Department of Theoretical Physics, Comenius University, Mlynská dolina, SK-84215, Bratislava, Slovakia

    P. Prešnajder

Authors
  1. H. Grosse
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  2. C. Klimčík
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  3. P. Prešnajder
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Additional information

Communicated by A. Connes

Participating in Project No. P8916-PHY of the ‘Fonds zur Förderung der wissenschaftlichen Forschung in Österreich’

Partially supported by the grant GAČR 210/96/0310

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Grosse, H., Klimčík, C. & Prešnajder, P. On finite 4D quantum field theory in non-commutative geometry. Commun.Math. Phys. 180, 429–438 (1996). https://doi.org/10.1007/BF02099720

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  • DOI: https://doi.org/10.1007/BF02099720

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