Quark condensate in two-flavor QCD

Abstract

We compute the condensate in QCD with two flavors of dynamical fermions using numerical simulation. The simulations use overlap fermions, and the condensate is extracted by fitting the distribution of low lying eigenvalues of the Dirac operator in sectors of fixed topological charge to the predictions of Random Matrix Theory.

revtex, 18 pages, 4 postscript figures. V.2, the published version, corrects an error for the shape factor

References in corpus (39)

• Exactly massless quarks on the lattice
• A New Way to Set the Energy Scale in Lattice Gauge Theories and its Application to the Static Force and ${\alpha }_s$ in SU(2) Yang--Mills Theory
• A General Method for Non-Perturbative Renormalization of Lattice Operators
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• Random matrix theory and spectral sum rules for the Dirac operator in QCD
• The spectrum of the QCD Dirac operator and chiral random matrix theory: the threefold way
• Spectral Density of the QCD Dirac Operator near Zero Virtuality
• Speeding up the Hybrid-Monte-Carlo algorithm for dynamical fermions
• Renormalization and Running of Quark Mass and Field in the Regularization Invariant and MS-bar Schemes at Three and Four Loops
• Lattice QCD on Small Computers
• HMC algorithm with multiple time scale integration and mass preconditioning
• Flavour-symmetry breaking of the quark condensate and chiral corrections to the Gell-Mann-Oakes-Renner relation
• A practical implementation of the Overlap-Dirac operator
• SUSY Relics in One-Flavor QCD from a New 1/N Expansion
• Microscopic universality in the spectrum of the lattice Dirac operator
• Quark spectra, topology and random matrix theory
• Lattice QCD in the epsilon-regime and random matrix theory
• Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
• Distribution of the k-th smallest Dirac operator eigenvalue
• Quark Mass Renormalization in the $\MSbar$ and RI schemes up to the NNLO order
• Refining the Proof of Planar Equivalence
• QCD Quark Condensate from SUSY and the Orientifold Large-N Expansion
• Physics issues in simulations with dynamical overlap fermions
• Small eigenvalues of the SU(3) Dirac operator on the lattice and in Random Matrix Theory
• The Low-Lying Dirac Spectrum of Staggered Quarks
• Microscopic Spectral Density of the Dirac Operator in Quenched QCD
• Microscopic universality with dynamical fermions
• Spectral Properties of the Overlap Dirac Operator in QCD
• Eigenvalue Distributions of the QCD Dirac Operator
• Chiral properties of two-flavor QCD in small volume and at large lattice spacing
• On the renormalized scalar density in quenched QCD
• An estimate of the chiral condensate from unquenched lattice QCD
• Quark condensate in one-flavor QCD
• Spectral Degeneracy in Supersymmetric Gluodynamics and One-Flavor QCD related to N=1/2 SUSY
• Simulating an arbitrary number of flavors of dynamical overlap fermions
• Current status of Dynamical Overlap project
• An insight on the Proof of Orientifold Planar Equivalence on the Lattice
• Renormalization of Bilinear Quark Operators for Overlap Fermions

Cited by in corpus (42)

• FLAG Review 2019
• Review of lattice results concerning low energy particle physics
• Hypercubic Smeared Links for Dynamical Fermions
• (In)validity of large N orientifold equivalence
• Twenty-first Century Lattice Gauge Theory: Results from the QCD Lagrangian
• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• Finite-size scaling tests for SU(3) lattice gauge theory with color sextet fermions
• Two-flavor lattice QCD in the epsilon-regime and chiral Random Matrix Theory
• Phase diagrams of SU(N) gauge theories with fermions in various representations
• Matrix Models and QCD with Chemical Potential
• Determination of the chiral condensate from QCD Dirac spectrum on the lattice
• Determination of the chiral condensate from 2+1-flavor lattice QCD
• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
• Parameters of the lowest order chiral Lagrangian from fermion eigenvalues
• QCD with one compact spatial dimension
• Hadron masses in QCD with one quark flavour
• Probing the chiral regime of Nf=2 QCD with mixed actions
• Spectral properties of the Wilson Dirac operator in the $\epsilon$-regime
• The condensate for two dynamical chirally improved quarks in QCD
• Finite Volume Scaling of Pseudo Nambu-Goldstone Bosons in QCD
• Lattice Study of Planar Equivalence: The Quark Condensate
• Computation of the electromagnetic pion form factor from lattice QCD in the epsilon regime
• Radiative contribution to the effective potential in composite Higgs models from lattice gauge theory
• Partially quenched chiral perturbation theory in the epsilon-regime
• Finite-volume Correction to the Pion Decay Constant in the Epsilon-Regime
• A Numerical Study of the 2-Flavour Schwinger Model with Dynamical Overlap Hypercube Fermions
• Interpolation between the epsilon and p regimes
• Finite-size scaling for the left-current correlator with non-degenerate quark masses
• 2+1 Flavor QCD simulated in the epsilon-regime in different topological sectors
• Quark chiral condensate from the overlap quark propagator
• Mixed Action Simulations on Staggered Background; Interpretation and Result for the 2-flavor QCD Chiral Condensate
• Testing chiral effective theory with quenched lattice QCD
• Small parameters in infrared QCD: The pion decay constant
• Reweighting QCD simulations with dynamical overlap fermions
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• QCD Anderson transition with overlap valence quarks on a twisted-mass sea
• The Quark Condensate in Multi-Flavour QCD - Planar Equivalence Confronting Lattice Simulations
• The complete lowest order chiral Lagrangian from a little box
• Dynamical overlap fermions in the epsilon-regime
• Topology, Random Matrix Theory and the spectrum of the Wilson Dirac operator
• Hadronic and radiative decays of the tau lepton
• The chiral condensate on 2-flavor staggered configurations from an overlap operator