On Finite 4D Quantum Field Theory in Non-Commutative Geometry
H. Grosse, C. Klimcik, P. Presnajder
Abstract
The truncated 4-dimensional sphere S4 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.
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