Can nonlocal Dirac operators be topologically proper ?
High Energy Physics - Lattice
2014-11-17 v2 Condensed Matter
High Energy Physics - Phenomenology
High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
By examining the analyticity of a sequence of topologically-proper lattice Dirac operators, we show that they tend to a nonlocal Dirac operator. This implies that a nonlocal lattice Dirac operator can have exact zero modes satisfying the Atiyah-Singer index theorem, in gauge backgrounds with nonzero topological charge.
Cite
@article{arxiv.hep-lat/0008010,
title = {Can nonlocal Dirac operators be topologically proper ?},
author = {Ting-Wai Chiu},
journal= {arXiv preprint arXiv:hep-lat/0008010},
year = {2014}
}
Comments
12 pages, LaTeX, 1 EPS figure, topos corrected and minor changes