On Finite 4D Quantum Field Theory in Non-Commutative Geometry

Abstract

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

18 pages, LaTeX, few misprints are corrected; one section is removed

References in corpus (2)

• On Quantum Field Theory with Nonzero Minimal Uncertainties in Positions and Momenta
• Topologically nontrivial field configurations in noncommutative geometry

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