Dirac-Connes Operator on Discrete Abelian Groups and Lattices
High Energy Physics - Theory
2007-05-23 v2 High Energy Physics - Lattice
Mathematical Physics
math.MP
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, M\"{u}ller-Hoissen and Sitarz and the NCG of Connes. Then we apply this operator to d-dimensional lattices.
Cite
@article{arxiv.hep-th/0101111,
title = {Dirac-Connes Operator on Discrete Abelian Groups and Lattices},
author = {Jian Dai and Xing-Chang Song},
journal= {arXiv preprint arXiv:hep-th/0101111},
year = {2007}
}
Comments
Latex, 9 pages, no figures; References added