Chiral Symmetry Breaking for Domain Wall Fermions in Quenched Lattice QCD

Details Chiral Symmetry Breaking for Domain Wall Fermions in Quenched Lattice QCD Chiral Symmetry Breaking for Domain Wall Fermions in Quenched Lattice QCD

2000-10-31

arxiv.org/abs/hep-lat/0010098v1

Nucl.Phys.Proc.Suppl. 94 (2001) 759-762

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages, 6 figures, Lattice 2000 (Chiral Fermions), RBC Collaboration

Scientific paper

10.1016/S0920-5632(01)00910-0

The domain wall fermion formulation exhibits full chiral symmetry for finite lattice spacing except for the effects of mixing between the domain walls. Close to the continuum limit these symmetry breaking effects should be described by a single residual mass. We determine this mass from the conservation law obeyed by the conserved axial current in quenched simulations with beta=5.7 and 6.0 and domain wall separations varying between 12 and 48 on 8^3x32 and 16^3x32 lattices. Using the resulting values for the residual mass we perform two complete and independent calculations of the pion decay constant. Good agreement is found between these two methods and with experiment.

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