Staggered Fermions and Gauge Field Topology

Details Staggered Fermions and Gauge Field Topology Staggered Fermions and Gauge Field Topology

1999-07-23

arxiv.org/abs/hep-lat/9907019v1

Phys.Rev.D61:014501,1999

Physics

High Energy Physics

High Energy Physics - Lattice

LaTeX, 10 pages

Scientific paper

10.1103/PhysRevD.61.014501

Based on a large number of smearing steps, we classify SU(3) gauge field configurations in different topological sectors. For each sector we compare the exact analytical predictions for the microscopic Dirac operator spectrum of quenched staggered fermions. In all sectors we find perfect agreement with the predictions for the sector of topological charge zero, showing explicitly that the smallest Dirac operator eigenvalues of staggered fermions at presently realistic lattice couplings are insensitive to gauge field topology. On the smeared configurations, $4\nu$ eigenvalues clearly separate out from the rest on configurations of topological charge $\nu$, and move towards zero in agreement with the index theorem.

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