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arXiv · hep-th/9401149

Differential calculus and gauge theory on finite sets

A. Dimakis·F. M"uller-Hoissen
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Abstract

We develop differential calculus and gauge theory on a finite set G. An elegant formulation is obtained when G is supplied with a group structure and in particular for a cyclic group. Connes' two-point model (which is an essential ingredient of his reformulation of the standard model of elementary particle physics) is recovered in our approach. Reductions of the universal differential calculus to `lower-dimensional' differential calculi are considered. The `complete reduction' leads to a differential calculus on a periodic lattice which is related to q-calculus.

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A. Dimakis, F. M"uller-Hoissen. 1994-01-28. Differential calculus and gauge theory on finite sets. https://doi.org/10.1088/0305-4470%2F27%2F9%2F028

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