Finite-size scaling of the quark condensate in quenched lattice QCD

Abstract

We confront the finite volume and small quark mass behaviour of the scalar condensate, determined numerically in quenched lattice QCD using Neuberger fermions, with predictions of quenched chiral perturbation theory. We find that quenched chiral perturbation theory describes the numerical data well, allowing us to extract the infinite volume, chiral limit scalar condensate, up to a multiplicative renormalization constant.

13 pages, 1 figure

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Cited by in corpus (60)

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• Low-energy couplings of QCD from current correlators near the chiral limit
• Direct determination of the strange and light quark condensates from full lattice QCD
• Testing the fixed-point QCD action and the construction of chiral currents
• Partially Quenched Chiral Perturbation Theory and the Replica Method
• Operator product expansion and quark condensate from Lattice QCD in coordinate space
• A variant approach to the overlap action
• Low-lying fermion modes, topology and light hadrons in quenched QCD
• Light Quark Masses with Overlap Fermions in Quenched QCD
• Overlap Quark Propagator in Landau Gauge
• Finite-size Scaling of Meson Propagators
• Axial Correlation Functions in the epsilon-Regime: a Numerical Study with Overlap Fermions
• Lattice QCD with the Overlap-Dirac Operator: Its $\Lambda$ Parameter, and One-Loop Renormalization of Fermionic Currents
• One-loop renormalization of fermionic currents with the overlap-Dirac operator
• Finite-Size Scaling of Vector and Axial Current Correlators
• Spectral Properties of the Overlap Dirac Operator in QCD
• Chiral condensate from the twisted mass Dirac operator spectrum
• Numerical Methods for the QCD Overlap Operator:III. Nested Iterations
• Low-energy couplings of QCD from topological zero-mode wave functions
• Numerical Methods for the QCD Overlap Operator IV: Hybrid Monte Carlo
• Convergence Rate and Locality of Improved Overlap Fermions
• On the renormalized scalar density in quenched QCD
• Chiral Properties of Pseudoscalar Mesons on a Quenched $20^4$ Lattice with Overlap Fermions
• The epsilon regime with Wilson fermions
• Extracting $F_{\pi }$ from small lattices: unquenched results
• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• Scalar condensate and light quark masses from overlap fermions
• A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
• Light hadron and diquark spectroscopy in quenched QCD with overlap quarks on a large lattice
• Lattice calculation of low energy constants with Ginsparg-Wilson type fermions
• Phenomenology from lattice QCD
• Quark spectra and light hadron phenomenology from overlap fermions with improved gauge field action
• Quarks with Twisted Boundary Conditions in the Epsilon Regime
• Lattice 2001: Reflections
• Spontaneous chiral symmetry breaking in QCD:a finite-size scaling study on the lattice
• Finite volume effects in chiral perturbation theory
• Chiral measurements with the Fixed-Point Dirac operator and construction of chiral currents
• Non-perturbative Renormalization in Lattice Field Theory
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• Another determination of the quark condensate from an overlap action
• Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action
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• Finite-size scaling for the left-current correlator with non-degenerate quark masses
• The epsilon regime with twisted mass Wilson fermions
• Probing the chiral weak Hamiltonian at finite volumes
• Overlap Fermions on a $20^4$ Lattice
• A Study of the 't Hooft Model with the Overlap Dirac Operator
• Testing chiral effective theory with quenched lattice QCD
• Quenched and Unquenched Chiral Perturbation Theory in the ε-Regime
• Speed and Adaptability of Overlap Fermion Algorithms
• Meson Correlation Functions in the epsilon-Regime
• Randomness on the Lattice
• The eigSUMR inverter for overlap fermion
• Finite-volume meson propagators in quenched chiral perturbation theory
• The Chiral Condensate of Strongly Coupled QCD in the 't Hooft Limit
• Simulations in the epsilon-Regime of Chiral Perturbation Theory
• Pion Decay Constant, $Z_A$ and Chiral Log from Overlap Fermions