Zero mode topology with dynamical overlap fermions

Abstract

We investigate the correlation between the topological charge density and the small eigenvectors of the overlap Dirac operator on ensembles generated at four different quark masses using dynamical overlap fermions. We identify topological structures in the QCD vacuum, and by investigating their size, shape and topological charge, we determine that the small eigenvalues of the Dirac operator are dominated by approximately hyper-spherical objects with integer topological charge.