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Connes' Distance of One-Dimensional Lattices: General Cases

Jian Dai·Xing-Chang Song
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Abstract

Connes' distance formula is applied to endow linear metric to three 1D lattices of different topology, with a generalization of lattice Dirac operator written down by Dimakis et al to contain a non-unitary link-variable. Geometric interpretation of this link-variable is lattice spacing and parallel transport.

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Jian Dai, Xing-Chang Song. 2001-04-01. Connes' Distance of One-Dimensional Lattices: General Cases. https://doi.org/10.1088/0253-6102%2F36%2F5%2F519

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