Pion Decay Constant, $Z_A$ and Chiral Log from Overlap Fermions

Dong, S. J.; Draper, T.; Horvath, I.; Lee, F. X.; Zhang, J. B.

Pion Decay Constant, $Z_A$ and Chiral Log from Overlap Fermions

Authors

Description

We report our calculation of the pion decay constant $f_π$, the axial renormalization constant $Z_A$, and the quenched chiral logarithms from the overlap fermions. The calculation is done on a quenched $20^4$ 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.
Lattice2001(Hadronic Matrix Elements), 3pages, 5figures