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Topology of dynamical lattice configurations including results from dynamical overlap fermions
Authors:Falk BruckmannFlorian Gruber  Nigel Cundy  Andreas SchäferThomas Lippert
Institution:a Institut für Theoretische Physik, Universität Regensburg, D-93040 Regensburg, Germany
b Department of Physics and Astronomy, Seoul National University, Seoul, 151-747, South Korea
c Jülich Supercomputing Centre, Forschungszentrum Jülich GmbH, D-52425 Jülich, Germany
Abstract:We investigate how the topological charge density in lattice QCD simulations is affected by violations of chiral symmetry caused by the fermion action. To this end we compare lattice configurations generated with a number of different actions including first configurations generated with exact dynamical overlap quarks. We visualize the topological profiles after mild smearing. In the topological charge correlator we measure the size of the positive core, which is known to shrink to zero extension in the continuum limit. To leading order we find the core size to scale linearly with the lattice spacing with the same coefficient for all actions, even including quenched simulations. In the subleading term the different actions vary over a range of about 10%. Our findings suggest that non-chiral lattice actions at current lattice spacings do not differ much for observables related to topology, both among themselves and compared to overlap fermions.
Keywords:QCD vacuum  Topological structure  Dynamical overlap operator
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