Finite Field Theory on Noncommutative Geometries

Details Finite Field Theory on Noncommutative Geometries Finite Field Theory on Noncommutative Geometries

1999-03-29

arxiv.org/abs/hep-th/9903239v3

Int.J.Mod.Phys. D9 (2000) 161-199

Physics

High Energy Physics

High Energy Physics - Theory

38pages, Latex2e, improved presentation

Scientific paper

10.1142/S0218271800000153

The propagator is calculated on a noncommutative version of the flat plane and the Lobachevsky plane with and without an extra (euclidean) time parameter. In agreement with the general idea of noncommutative geometry it is found that the limit when the two `points' coincide is finite and diverges only when the geometry becomes commutative. The flat 4-dimensional case is also considered. This is at the moment less interesting since there has been no curved case developed with which it can be compared.

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