Staggered Fermions and Gauge Field Topology

Abstract

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.

arXiv commentLaTeX, 10 pages

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Cited by in corpus (24)

• Random Matrix Theory and Chiral Symmetry in QCD
• Staggered eigenvalue mimicry
• Scaling tests of the improved Kogut-Susskind quark action
• The Index Theorem and Universality Properties of the Low-lying Eigenvalues of Improved Staggered Quarks
• The Low-Lying Dirac Spectrum of Staggered Quarks
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• A New Method for Determining $F_{\pi }$ on the Lattice
• Spectral Properties of the Overlap Dirac Operator in QCD
• Quenched Finite Volume Logarithms
• Eigenvalue Distributions of the QCD Dirac Operator
• Low-lying Eigenvalues of the QCD Dirac Operator at Finite Temperature
• Systematics of Staggered Fermion Spectral Properties and Topology
• Extracting $F_{\pi }$ from small lattices: unquenched results
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• Spectrum of the U(1) staggered Dirac operator in four dimensions
• Staggered chiral random matrix theory
• Handbook Article on Applications of Random Matrix Theory to QCD
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• The Sign Problem via Imaginary Chemical Potential
• Features of a 2d Gauge Theory with Vanishing Chiral Condensate
• Spectrum of the SU(3) Dirac operator on the lattice: Transition from random matrix theory to chiral perturbation theory
• Index Theorem and Random Matrix Theory for Improved Staggered Quarks
• The Index Theorem and Random Matrix Theory for Improved Staggered Quarks
• QCD Dirac spectrum and components of the gauge field