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arXiv · hep-th/9210098

Noncommutative Geometry and Gauge Theories on Discrete Groups

Andrzej Sitarz
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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 $\z_2$ and $\z_3$ follows. Finally we study the method of combining the discrete and continuous geometry.

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Andrzej Sitarz. 1992-10-19. Noncommutative Geometry and Gauge Theories on Discrete Groups. https://doi.org/10.1016/0393-0440(94)00009-s

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