Staggered fermions and gauge field topology
- 1 December 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 61 (1) , 014501
- https://doi.org/10.1103/physrevd.61.014501
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, 4ν eigenvalues clearly separate out from the rest on configurations of topological charge ν, and move towards zero in agreement with the index theorem.Keywords
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This publication has 33 references indexed in Scilit:
- Small eigenvalues of the SU(3) Dirac operator on the lattice and in random matrix theoryPhysical Review D, 1999
- Microscopic spectral density of the Dirac operator in quenched QCDPhysics Letters B, 1999
- Microscopic universality with dynamical fermionsPhysical Review D, 1998
- Microscopic Universality in the Spectrum of the Lattice Dirac OperatorPhysical Review Letters, 1998
- Universal scaling of the valence quark mass dependence of the chiral condensatePhysics Letters B, 1996
- Staggered fermions, topological charge and topological susceptibility in lattice QCDPhysics Letters B, 1988
- Topological charge and fermions in the two-dimensional lattice U(1) model (II). Wilson fermionsNuclear Physics B, 1988
- Topological charge and fermions in the two-dimensional lattice U(1) model (I)Nuclear Physics B, 1988
- Renormalized Ward-Takahashi relations and topological susceptibility with staggered fermionsNuclear Physics B, 1988
- Remnants of the index theorem on the latticeNuclear Physics B, 1987