Noncommutative Geometry and Gauge Theories on Discrete Groups

Details Noncommutative Geometry and Gauge Theories on Discrete Groups Noncommutative Geometry and Gauge Theories on Discrete Groups

1992-10-19

arxiv.org/abs/hep-th/9210098v1

J.Geom.Phys. 15 (1995) 123-136

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX file, 23 pages, TPJU 7/92 (revised version)

Scientific paper

We build and investigate a pure gauge theory on arbitrary discrete groups. A systematic approach to the construction of the differential calculus is presented. We discuss the metric properties of the models and introduce the action functionals for unitary gauge theories. A detailed analysis of two simple models based on $\z_2$ and $\z_3$ follows. Finally we study the method of combining the discrete and continuous geometry.

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