Chiral Lagrangian Parameters for Scalar and Pseudoscalar Mesons

Abstract

The results of a high-statistics study of scalar and pseudoscalar meson propagators in quenched lattice QCD are presented. For two values of lattice spacing, β = 5.7 (a ≈ .18 fm) and 5.9 (a ≈ .12 fm), we probe the light quark mass region using clover improved Wilson fermions with the MQA pole-shifting ansatz to treat the exceptional configuration problem. The quenched chiral loop parameters m0 and αΦ are determined from a study of the pseudoscalar hairpin correlator. From a global fit to the meson correlators, estimates are obtained for the relevant chiral Lagrangian parameters, including the Leutwyler parameters L5 and L8. Using the parameters obtained from the singlet and nonsinglet pseudoscalar correlators, the quenched chiral loop effect in the nonsinglet scalar meson correlator is studied. By removing this QCL effect from the lattice correlator, we obtain the mass and decay constant of the ground state scalar, isovector meson a0.

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Cite this paper

@inproceedings{BardeenChiralLP, title={Chiral Lagrangian Parameters for Scalar and Pseudoscalar Mesons}, author={W. Bardeen and Estia J. Eichten and H. Thacker} }