Low-lying eigenmodes of the Wilson-Dirac operator and correlations with topological objects
arXiv:hep-lat/0111029 · doi:10.1016/S0550-3213(02)00070-6
Abstract
The probability density of low-lying eigenvectors of the hermitian Wilson-Dirac operator is examined. Comparisons in position and size between eigenvectors, topological charge and action density are made. We do this for standard Monte-Carlo generated SU(3) background fields and for single instanton background fields. Both hot and cooled SU(3) background fields are considered. An instanton model is fitted to eigenmodes and topological charge density and the sizes and positions of these are compared.
v3: 20 pages, 11 figures, Colour versions of Fig. 1 and Fig. 4 and additional colour figures can be obtained at http://www.physics.adelaide.edu.au/cssm/lattice Revised version contains additional discussions about the topological charge used and greatly improved readability of the plots, Corrected Fig. 8
Cited by in corpus (8)
- Over-Improved Stout-Link Smearing
- Locality and topology with fat link overlap actions
- Improved chiral properties of FLIC fermions
- Wilson mass dependence of the overlap topological charge density
- Quark Propagation in the Instantons of Lattice QCD
- Comparison of |Q|=1 and |Q|=2 gauge-field configurations on the lattice four-torus
- FLIC-Overlap Fermions and Topology
- Role of the Wilson mass parameter in the overlap Dirac topological charge density