Effects of Topology in the Dirac Spectrum of Staggered Fermions

Details Effects of Topology in the Dirac Spectrum of Staggered Fermions Effects of Topology in the Dirac Spectrum of Staggered Fermions

1999-09-17

arxiv.org/abs/hep-lat/9909132v1

Phys.Lett. B471 (1999) 58-64

Physics

High Energy Physics

High Energy Physics - Lattice

Latex2e, 13 pages, 5 figures

Scientific paper

10.1016/S0370-2693(99)01276-9

We compare the lower edge spectral fluctuations of the staggered lattice Dirac operator for the Schwinger model with the predictions of chiral Random Matrix Theory (chRMT). We verify their range of applicability, checking in particular the role of non-trivial topological sectors and the flavor symmetry of the staggered fermions for finite lattice spacing. Approaching the continuum limit we indeed find clear signals for topological modes in the eigenvalue spectrum. These findings indicate problems in the verification of the chRMT predictions.

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