Noncommutative Geometry and Gauge Theory on Discrete Groups


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 Z2 and Z3 follows. Finally we study the method of combining the discrete and continuous geometry. e-mail: ufsitarz@plkrcy11.bitnet

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@inproceedings{Sitarz1992NoncommutativeGA, title={Noncommutative Geometry and Gauge Theory on Discrete Groups}, author={Andrzej Sitarz}, year={1992} }