Dependence of Dirac eigenmodes on boundary conditions for SU(2) lattice gauge theory

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