Tests of the lattice index theorem

Details Tests of the lattice index theorem Tests of the lattice index theorem

2007-10-29

arxiv.org/abs/0710.5445v2

Phys.Rev.D77:014515,2008

Physics

High Energy Physics

High Energy Physics - Lattice

9 pages, some corrections included

Scientific paper

10.1103/PhysRevD.77.014515

We investigate the lattice index theorem and the localization of the zero-modes for thick classical center vortices. For non-orientable spherical vortices, the index of the overlap Dirac operator differs from the topological charge although the traces of the plaquettes deviate only by a maximum of 1.5% from trivial plaquettes. This may be related to the fact that even in Landau gauge some links of these configuration are close to the non-trivial center elements.

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