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Dirac-Connes Operator on Discrete Abelian Groups and Lattices

Jian Dai·Xing-Chang Song
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Abstract

A kind of Dirac-Connes operator defined in the framework of Connes' NCG is introduced on discrete abelian groups; it satisfies a Junk-free condition, and bridges the NCG composed by Dimakis, Müller-Hoissen and Sitarz and the NCG of Connes. Then we apply this operator to d-dimensional lattices.

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Jian Dai, Xing-Chang Song. 2001-01-22. Dirac-Connes Operator on Discrete Abelian Groups and Lattices. https://arxiv.org/abs/hep-th/0101111

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