arXiv:hep-th/0101111·v2·High Energy Physics — Theory
Dirac-Connes Operator on Discrete Abelian Groups and Lattices
Jian Dai🇨🇳 · Xing-Chang Song (Theoretical Group, Department of Physics, Peking University)🇨🇳
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.
Comments: Latex, 9 pages, no figures; References added