Dirac-Kaehler fermion with noncommutative differential forms on a lattice
High Energy Physics - Lattice
2016-09-01 v1
Abstract
Noncommutativity between a differential form and a function allows us to define differential operator satisfying Leibniz's rule on a lattice. We propose a new associative Clifford product defined on the lattice by introducing the noncommutative differential forms. We show that this Clifford product naturally leads to the Dirac-K\"ahler fermion on the lattice.
Cite
@article{arxiv.hep-lat/0309120,
title = {Dirac-Kaehler fermion with noncommutative differential forms on a lattice},
author = {I. Kanamori and N. Kawamoto},
journal= {arXiv preprint arXiv:hep-lat/0309120},
year = {2016}
}
Comments
3 pages, Lattice2003(Theoretical Development)