Effective Chiral Lagrangians and Lattice QCD

Abstract

We propose a general method to obtain accurate estimates for some of the "low-energy constants" in the one-loop effective chiral Lagrangian by means of simulating lattice QCD. In particular, the method is sensitive to those constants whose values are required to test the hypothesis of a massless up-quark. Initial tests performed in the quenched approximation confirm that good statistical precision can be achieved. As a byproduct we obtain an accurate estimate for the ratio of pseudoscalar decay constants, F_K/F_pi, in the quenched approximation, which lies 10% below the experimental result. The quantities that serve to extract the low-energy constants also allow a test of the scaling behaviour of different discretizations of QCD and a search for the effects of dynamical quarks.

27 pages, 9 postscript files, LaTeX; Corrections in Appendix A and Table 1; numerical results and conclusions unchanged; version to be published in Nucl. Phys. B

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• Light Hadron Spectrum and Quark Masses from Quenched Lattice QCD
• Improved Analysis of J/psi Decays into a Vector Meson and Two Pseudoscalars
• Chiral Logs in Quenched QCD
• Quenched Scaling of Wilson twisted mass fermions
• Improved Wilson QCD simulations with light quark masses
• The scalar pion form factor in two-flavor lattice QCD
• Quenched Finite Volume Logarithms
• Low-energy couplings of QCD from topological zero-mode wave functions
• Estimating the Unquenched Strange Quark Mass from the Lattice Axial Ward Identity
• Chiral Effective Lagrangian and Quark Masses
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• Chiral Lagrangian Parameters for Scalar and Pseudoscalar Mesons
• Is the up-quark massless?
• Hadron masses in QCD with one quark flavour
• 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
• Is strong CP invariance due to a massless up quark?
• Exact Chiral Symmetry on the Lattice: QCD Applications
• Partially quenched chiral perturbation theory and numerical simulations
• Hadron spectrum, quark masses and decay constants from light overlap fermions on large lattices
• Quark mass dependence of pseudoscalar masses and decay constants on a lattice
• Quark mass dependence of masses and decay constants of the pseudo-Goldstone bosons in QCD
• M_pi^2 versus m_q: comparing CP-PACS and UKQCD data to Chiral Perturbation Theory
• Chiral Lagrangian and chiral quark model from confinement in QCD
• Analytic estimates for penguin operators in quenched QCD
• Effective chiral lagrangian in the chiral limit from the instanton vacuum
• Chiral perturbation theory for partially quenched twisted mass lattice QCD
• Hard hadron spectroscopy
• Testing chiral effective theory with quenched lattice QCD
• Preparing for N_f=2 simulations at small lattice spacings
• Strong Interactions at Low Energy
• Monopole and instanton effects in QCD
• Is the Up Quark Massless?
• Analytic estimates of quenched penguins
• Mass dependence of the hairpin vertex in quenched QCD
• Review of chiral perturbation theory
• Isospin-Asymmetry Dependence of the Thermodynamic Nuclear Equation of State in Many-Body Perturbation Theory
• Light dynamical fermions on the lattice: toward the chiral regime of QCD
• Strangeness in Lattice QCD
• Quark mass dependence of the pseudoscalar hairpin vertex
• Kaon weak interactions in powers of 1/Nc
• Lattice QCD with light dynamical quarks