Towards Finite Quantum Field Theory in Non-Commutative Geometry

Authors:
  • HGH. Grosse
    H. Grosse
  • CKC. Klimcik
    C. Klimcik
  • PPP. Presnajder
    P. Presnajder

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