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

H. Grosse; C. Klimcik; P. Presnajder

doi:10.1007/BF02099720

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

High Energy Physics - Theory 2010-04-06 v2

Authors: H. Grosse , C. Klimcik , P. Presnajder

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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.

Keywords

non-commutative geometry truncated s4 scalar field path integral quantization uv finiteness so(5) symmetry

Cite

@article{arxiv.hep-th/9602115,
  title  = {On Finite 4D Quantum Field Theory in Non-Commutative Geometry},
  author = {H. Grosse and C. Klimcik and P. Presnajder},
  journal= {arXiv preprint arXiv:hep-th/9602115},
  year   = {2010}
}

Comments

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

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