Connes' Distance of One-Dimensional Lattices: General Cases

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.

Latex 7 pages; No figures

References in corpus (2)

• Electromagnetism and Gauge Theory on the Permutation Group $S_3$
• Wilson Action of Lattice Gauge Fields with An Additional Term from Noncommutative Geometry

Cited by in corpus (1)

• Connes spectral distances, quantum discord and coherence of qubits