Can nonlocal Dirac operators be topologically proper?
Journal
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Journal Volume
498
Journal Issue
1-2
Pages
111-116
Date Issued
2001
Author(s)
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. © 2001 Published by Elsevier Science B.V.
Type
journal article