Low-lying eigenmodes of the Wilson-Dirac operator and correlations with topological objects

Details Low-lying eigenmodes of the Wilson-Dirac operator and correlations with topological objects Low-lying eigenmodes of the Wilson-Dirac operator and correlations with topological objects

2001-11-16

arxiv.org/abs/hep-lat/0111029v3

Nucl.Phys.B628:253-269,2002

Physics

High Energy Physics

High Energy Physics - Lattice

v3: 20 pages, 11 figures, Colour versions of Fig. 1 and Fig. 4 and additional colour figures can be obtained at http://www.p

Scientific paper

10.1016/S0550-3213(02)00070-6

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.

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