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Connes' Distance of One-Dimensional Lattices: General Cases
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🧮 math-ph
hep-lathep-thmath.MPmath.QA
keywords
connesdistancelatticelatticeslink-variableappliedcasescontain
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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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