Comparing lattice Dirac operators with Random Matrix Theory
arXiv:hep-lat/9907011 · doi:10.1016/S0920-5632(00)91712-2
Abstract
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).
LATTICE99(topology and confinement), Latex2e using espcrc2.sty, 3 pages, 3 figures
References in corpus (12)
- More about exactly massless quarks on the lattice
- Lattice QCD without tuning, mixing and current renormalization
- The Microscopic Spectral Density of the QCD Dirac Operator
- From chiral Random Matrix Theory to chiral Perturbation Theory
- Small eigenvalues of the SU(3) Dirac operator on the lattice and in Random Matrix Theory
- Dirac Operator Spectra from Finite-Volume Partition Functions
- Microscopic Spectral Density of the Dirac Operator in Quenched QCD
- Eigenvalue spectrum of massless Dirac operators on the lattice
- Microscopic Spectra of Dirac Operators and Finite-Volume Partition Functions
- Microscopic universality with dynamical fermions
- Statistical properties at the spectrum edge of the QCD Dirac operator
- Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model