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Abstract
The pion decay constant is calculated for full QCD on the lattice employing a variety of methods derived from current algebra and PCAC relations. The calculation is made at β=5.7 on a 20 4 lattice with two flavors of Kogut-Susskind quarks. Most of the calculation is made in the Landau gauge, for which various methods give results in a very good agreement, yielding ƒ π=97±9 ( statistical) ± 4 ( systematic) MeV . In particular the results obtained with the gauge non-invariant axial-vector current perfectly agrees with those of the gauge invariant current, if corrected by the Z factor using the mean-field improvement of the gauge coupling constant and operators. Dependence of the results on the type of gauge fixing is also examined using the Coulomb gauge.
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