Can nonlocal Dirac operators be topologically proper?

Authors
Citation
Tw. Chiu, Can nonlocal Dirac operators be topologically proper?, PHYS LETT B, 498(1-2), 2001, pp. 111-116
Citations number
13
Categorie Soggetti
Physics
Journal title
PHYSICS LETTERS B
ISSN journal
03702693 → ACNP
Volume
498
Issue
1-2
Year of publication
2001
Pages
111 - 116
Database
ISI
SICI code
0370-2693(20010118)498:1-2<111:CNDOBT>2.0.ZU;2-B
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 sa tisfying the Atiyah-Singer index theorem, in gauge backgrounds with nonzero topological charge. (C) 2001 Published by Elsevier Science B.V.