The QCD Chiral Condensate from the Lattice

Abstract

We determine the chiral condensate from simulations of quenched lattice QCD with Wilson fermions. Our measurements have been obtained with high statistics at three values of the gauge coupling, corresponding to UV cutoffs in the range 2 - 4 GeV. Several improvements have been made with respect to earlier lattice computations. The most important are the non-perturbative renormalization of the condensate, the use of the tree-level improved Clover action and the reduction of the systematic error due to uncertainties in the lattice calibration. Our result for the chiral condensate in the $\msbar$ scheme is (\barψψ)^{\msbar}(mu = 2 GeV) = - 0.0147(8)(16)(12) GeV^3 = - [245(4)(9)(7) MeV]^3 where the first error is statistical, the second is due to the non-perturbative renormalization and the third due to the lattice calibration.

34 pages, latex, no figures. Some references and the value of the chiral condensate at 1 GeV added, no conclusions changed

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• A variant approach to the overlap action
• Mesonic spectroscopy of Minimal Walking Technicolor
• Finite-size scaling of the quark condensate in quenched lattice QCD
• QCD thermodynamics with continuum extrapolated Wilson fermions I
• On covariant nonlocal chiral quark models with separable interactions
• Light Quark Masses with Overlap Fermions in Quenched QCD
• Non-perturbative renormalization of the quark condensate in Ginsparg-Wilson regularizations
• Nonlocal chiral quark models with wavefunction renormalization: sigma properties and π-πscattering parameters
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• Estimating transport coefficients in hot and dense quark matter
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• Multiple Critical Points in Effective Quark Models
• Meson loop effects in the NJL model at zero and non-zero temperature
• Renormalization Constants of Quark Operators for the Non-Perturbatively Improved Wilson Action
• Meson Properties in the 1/N_c-corrected NJL model
• Lattice study on QCD-like theory with exact center symmetry
• QCD thermodynamics with continuum extrapolated Wilson fermions II
• An estimate of the chiral condensate from unquenched lattice QCD
• On the renormalized scalar density in quenched QCD
• Quark matter under strong magnetic fields in SU(2) NJL-type models: parameter dependence of the cold dense matter phase diagram
• Chiral perturbation theory
• SU(5) Unified Theories from Intersecting Branes
• Baryon structure in a quark-confining non-local NJL model
• Scalar condensate and light quark masses from overlap fermions
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• Spontaneous chiral symmetry breaking in QCD:a finite-size scaling study on the lattice
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• GMOR-like relation in IR-conformal gauge theories
• Analytic pseudo-Goldstone bosons
• Quenched Results for Light Quark Physics with Overlap Fermions
• Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices
• Strong-interaction matter under extreme conditions from chiral quark models with nonlocal separable interactions
• Topology via Spectral Projectors with Staggered Fermions
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• Spontaneous generation of the Nambu --Jona-Lazinio interaction in quantum chromodynamics with two light quarks
• SU(2) Gluodynamics and HP1 sigma-model embedding: Scaling, Topology and Confinement
• The Nuclear matter stability in a non-local chiral quark model
• Finite temperature properties of QCD with two flavors and three, four and five colors
• Studying explicit $U(1{)}_A$ symmetry breaking in hot and magnetised two flavour non-local NJL model constrained using lattice results
• Testing chiral effective theory with quenched lattice QCD
• Saturation properties of nuclear matter in a relativistic mean field model constrained by the quark dynamics
• In-medium omega meson mass and quark condensate in a Nambu Jona-Lasinio model constrained by recent experimental data
• Nonzero Mean Squared Momentum of Quarks in the Non-Perturbative QCD Vacuum
• Pion and nucleon in two flavour QCD with unimproved Wilson fermions
• Relative scale setting for two-color QCD with Nf=2 Wilson fermions
• Strongly interacting matter in extreme magnetic fields
• Transition form-factor of $\gamma \to 3\pi$ in nonlocal quark model
• Recovering the chiral critical end-point via delocalization of quark interactions
• Thermal Transitions in Dense Two-Colour QCD
• Thermal Field Theory in the Presence of a Background Magnetic Field and its Application to QCD
• An introduction to Goldstone boson physics and to the coset construction
• Hadronic and radiative decays of the tau lepton
• The Chiral Condensate of Strongly Coupled QCD in the 't Hooft Limit
• Baryon and meson masses in the Nambu--Jona-Lasinio model: A Bayesian approach
• Lattice QCD at nonzero temperature and density