Pion decay constant, ZA and chiral log from overlap fermions

Abstract We report our calculation of the pion decay constant fπ, the axial renormalization constant ZA, and the quenched chiral logarithms from the overlap fermions. The calculation is done on a quenched 204 lattice at a = 0.148 fm using tree level tadpole improved gauge action. The smallest pion mass we reach is about 280 MeV. The lattice size is about 4 times the Compton wavelength of the lowest mass pion.