Random Matrix Model for Wilson Fermions on the Lattice

Abstract

We describe a random matrix model suitable for the simulation of the eigenvalues of the Dirac operator on the lattice for Wilson fermions. We compare the obtained global eigenvalue spectrum for various values of the hopping parameter κwith lattice results of Kalkreuter. The agreement is surprisingly good.

REVTeX, 5 pages, 10 .eps figures, changed figure captions, updated references, minor changes

References in corpus (7)

• Random Matrix Theories in Quantum Physics: Common Concepts
• Chiral Disorder in QCD
• Thouless Energy and Correlations of QCD Dirac Eigenvalues
• Microscopic universality with dynamical fermions
• Crossover to Non-universal Microscopic Spectral Fluctuations in Lattice Gauge Theory
• The non-perturbative O(a)-improved action for dynamical Wilson fermions
• Experiences with the Polynomial Hybrid Monte Carlo Algorithm

Cited by in corpus (2)

• Random Matrix Theory and Chiral Symmetry in QCD
• Spectral properties of the Wilson Dirac operator in the $\epsilon$-regime