Towards Finite Quantum Field Theory in Non-Commutative Geometry

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, LaTeX

Scientific paper

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.

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