Towards the Continuum Limit of the Overlap Quark Propagator in Landau Gauge

Details Towards the Continuum Limit of the Overlap Quark Propagator in Landau Gauge Towards the Continuum Limit of the Overlap Quark Propagator in Landau Gauge

2002-08-22

arxiv.org/abs/hep-lat/0208037v2

Nucl.Phys.Proc.Suppl.119:831-833,2003

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, 2 figures, talk, Lattice2002(Chiral Fermion)

Scientific paper

10.1016/S0920-5632(03)80474-7

The properties of the momentum space quark propagator in Landau gauge are examined for the overlap quark action in quenched lattice QCD. Numerical calculations were done on two lattices with different lattice spacing $a$ and similar physical volumes to explore the quark propagator in the continuum limit. We have calculated the nonperturbative wavefunction renormalization function $Z(p)$ and the nonperturbative mass function $M(p)$ for a variety of bare quark masses and perform a simple linear extrapolation to the chiral limit. We find the behaviour of $Z(p)$ and $M(p)$ in the chiral limit are in good agreement between the two lattices.

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