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Finite quantum field theory in noncommutative geometry

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Abstract

We describe a self-interacting scalar field on a truncated sphere and perform the quantization using the functional (path) integral approach. The theory possesses full symmetry with respect to the isometries of the sphere. We explicitly show that the model is finite and that UV regularization automatically takes place.

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Authors and Affiliations

  1. Institute for Theoretical Physics, University of Vienna, A-1090, Vienna, Austria

    H. Grosse

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

    C. Klimčík

  3. Department of Theoretical Physics, Comenius University, 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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Grosse, H., Klimčík, C. & Prešnajder, P. Finite quantum field theory in noncommutative geometry. Int J Theor Phys 35, 231–244 (1996). https://doi.org/10.1007/BF02083810

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  • DOI: https://doi.org/10.1007/BF02083810

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