Finite-Volume Scaling of the Wilson-Dirac Operator Spectrum

Abstract

The microscopic spectral density of the Hermitian Wilson-Dirac operator is computed numerically in quenched lattice QCD. We demonstrate that the results given for fixed index of the Wilson-Dirac operator can be matched by the predictions from Wilson chiral perturbation theory. We test successfully the finite volume and the mass scaling predicted by Wilson chiral perturbation theory at fixed lattice spacing.

10 pages, 11 figures, version to appear in PRD

References in corpus (8)

• Random Matrix Theory for the Hermitian Wilson Dirac Operator and the chGUE-GUE Transition
• Discretization errors in the spectrum of the Hermitian Wilson-Dirac operator
• The epsilon regime with Wilson fermions
• The Wilson Dirac Spectrum for QCD with Dynamical Quarks
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• Spectral properties of the Wilson Dirac operator in the $\epsilon$-regime
• QCD with Bosonic Quarks at Nonzero Chemical Potential
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Cited by in corpus (19)

• Spectral properties of the Wilson Dirac operator in the $\epsilon$-regime
• Determination of Low-Energy Constants of Wilson Chiral Perturbation Theory
• Spectral Properties of the Wilson Dirac Operator and random matrix theory
• The Realization of the Sharpe-Singleton Scenario
• The Microscopic Twisted Mass Dirac Spectrum
• Mixing of orthogonal and skew-orthogonal polynomials and its relation to Wilson RMT
• New Ways to Determine Low-Energy Constants with Wilson Fermions
• Determining low-energy constants in partially quenched Wilson chiral perturbation theory
• Dirac Spectrum of the Wilson Dirac Operator for QCD with Two Colors
• Random Matrix Theory and Quantum Chromodynamics
• Chiral Dynamics With Wilson Fermions
• Progress on the Microscopic Spectrum of the Dirac Operator for QCD with Wilson Fermions
• Wilson chiral perturbation theory, Wilson-Dirac operator eigenvalues and clover improvement
• Random Matrix Models for the Hermitian Wilson-Dirac operator of QCD-like theories
• Topology, Random Matrix Theory and the spectrum of the Wilson Dirac operator
• Universal Broadening of Zero Modes: A General Framework and Identification
• Wilson chiral perturbation theory for dynamical twisted mass fermions vs lattice data - a case study
• New term in effective field theory at fixed topology
• The Effect of the Low Energy Constants on the Spectral Properties of the Wilson Dirac Operator