Microscopic universality with dynamical fermions

Abstract

It has recently been demonstrated in quenched lattice simulations that the distribution of the low-lying eigenvalues of the QCD Dirac operator is universal and described by random-matrix theory. We present first evidence that this universality continues to hold in the presence of dynamical quarks. Data from a lattice simulation with gauge group SU(2) and dynamical staggered fermions are compared to the predictions of the chiral symplectic ensemble of random-matrix theory with massive dynamical quarks. Good agreement is found in this exploratory study. We also discuss implications of our results.

5 pages, 3 figures, minor modifications, to appear in Phys. Rev. D (Rapid Commun.)

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Cited by in corpus (40)

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• The Microscopic Spectral Density of the QCD Dirac Operator
• From chiral Random Matrix Theory to chiral Perturbation Theory
• Quark spectra, topology and random matrix theory
• The Complex Laguerre Symplectic Ensemble of Non-Hermitian Matrices
• Matrix Models and QCD with Chemical Potential
• Quark condensate in two-flavor QCD
• Small eigenvalues of the SU(3) Dirac operator on the lattice and in Random Matrix Theory
• The Spectral Density of the QCD Dirac Operator and Patterns of Chiral Symmetry Breaking
• Eigenvalue spectrum of massless Dirac operators on the lattice
• QCD Dirac operator at nonzero chemical potential: lattice data and matrix model
• Eigenvalue Distributions of the QCD Dirac Operator
• Spectra of massive and massless QCD Dirac operators: A novel link
• Universal Scaling of the Chiral Condensate in Finite-Volume Gauge Theories
• Chiral properties of two-flavor QCD in small volume and at large lattice spacing
• Parameters of the lowest order chiral Lagrangian from fermion eigenvalues
• Topology and the Dirac Operator Spectrum in Finite-Volume Gauge Theories
• Low-lying Eigenvalues of the QCD Dirac Operator at Finite Temperature
• Staggered Fermions and Gauge Field Topology
• Extracting $F_{\pi }$ from small lattices: unquenched results
• Systematics of Staggered Fermion Spectral Properties and Topology
• Microscopic Universality and the Chiral Phase Transition in two Flavor QCD
• Massive chiral random matrix ensembles at beta = 1 & 4 : Finite-volume QCD partition functions
• Recursion for the smallest eigenvalue density of $\beta$-Wishart-Laguerre ensemble
• Unquenched complex Dirac spectra at nonzero chemical potential: two-colour QCD lattice data versus matrix model
• Spectral correlations of the massive QCD Dirac operator at finite temperature
• A Wigner Surmise for Hermitian and Non-Hermitian Chiral Random Matrices
• Massive chiral random matrix ensembles at beta = 1 & 4 : QCD Dirac operator spectra
• Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory
• Polyakov loops and spectral properties of the staggered Dirac operator
• Localization and chiral properties near the ordering transition of an Anderson-like toy model for QCD
• Determining F_pi from spectral sum rules
• Fake symmetry transitions in lattice Dirac spectra
• Random matrix models for phase diagrams
• Spectrum of the SU(3) Dirac operator on the lattice: Transition from random matrix theory to chiral perturbation theory
• The gradient flow of the Dirac spectrum
• Random Matrix Model for Wilson Fermions on the Lattice
• Comparing matrix models and QCD lattice data with chemical potential
• Chiral Condensate and Susceptibility of SU(2) $n_f=8$ Naive Staggered System
• Comparing lattice Dirac operators with Random Matrix Theory