Comparing lattice Dirac operators with Random Matrix Theory

Details Comparing lattice Dirac operators with Random Matrix Theory Comparing lattice Dirac operators with Random Matrix Theory

1999-07-19

arxiv.org/abs/hep-lat/9907011v1

Nucl.Phys.Proc.Suppl. 83 (2000) 482-484

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99(topology and confinement), Latex2e using espcrc2.sty, 3 pages, 3 figures

Scientific paper

We study the eigenvalue spectrum of different lattice Dirac operators (staggered, fixed point, overlap) and discuss their dependence on the topological sectors. Although the model is 2D (the Schwinger model with massless fermions) our observations indicate possible problems in 4D applications. In particular misidentification of the smallest eigenvalues due to non-identification of the topological sector may hinder successful comparison with Random Matrix Theory (RMT).

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