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

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

1996-02-21

arxiv.org/abs/hep-th/9602115v2

Commun.Math.Phys.180:429-438,1996

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/BF02099720

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.

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