Can nonlocal Dirac operators be topologically proper ?

Details Can nonlocal Dirac operators be topologically proper ? Can nonlocal Dirac operators be topologically proper ?

2000-08-14

arxiv.org/abs/hep-lat/0008010v2

Phys.Lett. B498 (2001) 111-116

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, LaTeX, 1 EPS figure, topos corrected and minor changes

Scientific paper

10.1016/S0370-2693(00)01365-4

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.

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