Noncommutative Geometry and Gauge Theories on Discrete Groups

Andrzej Sitarz

doi:10.1016/0393-0440(94)00009-S

Noncommutative Geometry and Gauge Theories on Discrete Groups

High Energy Physics - Theory 2015-06-26 v1

Authors: 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.

Keywords

noncommutative geometry gauge theories discrete groups differential calculus discrete geometry

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@article{arxiv.hep-th/9210098,
  title  = {Noncommutative Geometry and Gauge Theories on Discrete Groups},
  author = {Andrzej Sitarz},
  journal= {arXiv preprint arXiv:hep-th/9210098},
  year   = {2015}
}

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

Noncommutative Geometry and Gauge Theories on Discrete Groups

Abstract

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