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

Abstract

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.

arXiv commentLattice2001(Hadronic Matrix Elements), 3pages, 5figures

References in corpus (7)

• Exactly massless quarks on the lattice
• A construction of lattice chiral gauge theories
• Quenched Chiral Logarithms
• Quenched Light Hadron Spectrum
• A study of chiral symmetry in quenched QCD using the Overlap-Dirac operator
• Finite-size scaling of the quark condensate in quenched lattice QCD
• Chiral Symmetry, Quark Mass, and Scaling of the Overlap Fermions