Chiral Properties of Pseudoscalar Mesons on a Quenched $20^4$ Lattice with Overlap Fermions

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dc.creatorDong, S. J.
dc.creatorDraper, T.
dc.creatorHorvath, I.
dc.creatorLee, F. X.
dc.creatorLiu, K. F.
dc.creatorZhang, J. B.
dc.date2001-08-16
dc.date2001-11-28
dc.date.accessioned2026-07-07T11:30:27Z
dc.date.available2026-07-07T11:30:27Z
dc.descriptionThe chiral properties of the pseudoscalar mesons are studied numerically on a quenched $20^4$ lattice with the overlap fermion. We elucidate the role of the zero modes in the meson propagators, particularly that of the pseudoscalar meson. The non-perturbative renormalization constant $Z_A$ is determined from the axial Ward identity and is found to be almost independent of the quark mass for the range of quark masses we study; this implies that the $O(a^2)$ error is small. The pion decay constant, $f_π$, is calculated from which we determine the lattice spacing to be 0.148 fm. We look for quenched chiral log in the pseudoscalar decay constants and the pseudoscalar masses and we find clear evidence for its presence. The chiral log parameter $δ$ is determined to be in the range 0.15 -- 0.4 which is consistent with that predicted from quenched chiral perturbation theory.
dc.descriptionVersion accepted for publication by PRD. A few minor typographical errors have been corrected. 24 pages, 11 figures
dc.identifierhttps://arxiv.org/abs/hep-lat/0108020
dc.identifierhttp://arxiv.org/abs/hep-lat/0108020
dc.identifierPhys.Rev.D65:054507,2002
dc.identifierdoi:10.1103/PhysRevD.65.054507
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/197015
dc.subjectHigh Energy Physics - Lattice
dc.titleChiral Properties of Pseudoscalar Mesons on a Quenched $20^4$ Lattice with Overlap Fermions
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