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Pion decay constant for the Kogut-Susskind quark action in quenched lattice QCD
We present a study for the pion decay constant in the quenched
approximation to lattice QCD with the Kogut-Susskind (KS) quark action, with
the emphasis given to the renormalization problems. Numerical simulations are
carried out at the couplings and 6.2 on and
lattices, respectively. The pion decay constant is evaluated
for all KS flavors via gauge invariant and non-invariant axial vector currents
with the renormalization constants calculated by both non-perturbative method
and perturbation theory. We obtain MeV in the continuum limit
as the best value using the partially conserved axial vector current, which
requires no renormalization. From a study for the other KS flavors we find that
the results obtained with the non-perturbative renormalization constants are
well convergent among the KS flavors in the continuum limit, confirming
restoration of flavor symmetry, while perturbative
renormalization still leaves an apparent flavor breaking effect even in the
continuum limit.Comment: LaTex, 27 pages, 35 eps figures, uses revtex and eps