Noncommutative Geometry and Gauge Theories on Discrete Groups
Abstract
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 2 and 3 follows. Finally we study the method of combining the discrete and continuous geometry.
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