Tests of the lattice index theorem
High Energy Physics - Lattice
2008-11-26 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0710.5445,
title = {Tests of the lattice index theorem},
author = {Gerald Jordan and Roman Hoellwieser and Manfried Faber and Urs M. Heller},
journal= {arXiv preprint arXiv:0710.5445},
year = {2008}
}
Comments
9 pages, some corrections included