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

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

2001-10-30

arxiv.org/abs/hep-lat/0110220v1

Nucl.Phys.Proc.Suppl.106:341-343,2002

Physics

High Energy Physics

High Energy Physics - Lattice

Lattice2001(Hadronic Matrix Elements), 3pages, 5figures

Scientific paper

10.1016/S0920-5632(01)01708-X

We report our calculation of the pion decay constant $f_\pi$, 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.

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