Finite field theory on noncommutative geometries

被引：38

作者：

Cho, S ^{[1
]}

Hinterding, R

Madore, J

Steinacker, H

机构：

[1] Semyung Univ, Dept Phys, Chungbuk 390711, South Korea

[2] Univ Munich, Sekt Phys, D-80333 Munich, Germany

[3] Max Planck Inst Phys, Werner Heisenberg Inst, D-80805 Munich, Germany

[4] Univ Paris Sud, Phys Theor & Hautes Energies Lab, F-91405 Orsay, France

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS D | 2000年 / 9卷 / 02期

关键词：

D O I：

10.1142/S0218271800000153

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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 four-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.

引用

页码：161 / 199

页数：39

共 47 条

[1] THE 2-PARAMETRIC EXTENSION OF H DEFORMATION OF GL(2), AND THE DIFFERENTIAL-CALCULUS ON ITS QUANTUM PLANE [J].