We analyze zero modes of the Dirac operator for SU(2) lattice gauge theory. We find that the zero modes are strongly localized in all 4 directions. The position of these lumps depends on the boundary conditions we use for the Dirac operator. We compare periodic boundary conditions and anti-periodic boundary conditions and find that the position of the zero modes jumps for about one third of the configurations.
@article{arxiv.hep-lat/0410040,
title = {Dependence of Dirac eigenmodes on boundary conditions for SU(2) lattice gauge theory},
author = {Christof Gattringer and Stefan Solbrig},
journal= {arXiv preprint arXiv:hep-lat/0410040},
year = {2007}
}