Scaling Behavior of the Landau Gauge Overlap Quark Propagator

Details Scaling Behavior of the Landau Gauge Overlap Quark Propagator Scaling Behavior of the Landau Gauge Overlap Quark Propagator

2003-09-11

arxiv.org/abs/hep-lat/0309043v1

Nucl.Phys.Proc.Suppl.129:495-497,2004

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, Lattice2003(Chiral fermions)

Scientific paper

10.1016/S0920-5632(03)02620-3

The properties of the momentum space quark propagator in Landau gauge are examined for the overlap quark action in quenched lattice QCD. Numerical calculations are done on three lattices with different lattice spacings and similar physical volumes to explore the approach of the quark propagator towards the continuum limit. We have calculated the nonperturbative momentum-dependent wavefunction renormalization function $Z(p^2)$ and the nonperturbative mass function $M(p^2)$ for a variety of bare quark masses and extrapolate to the chiral limit. We find the behavior of $Z(p^2)$ and $M(p^2)$ are in good agreement for the two finer lattices in the chiral limit. The quark condensate is also calculated.

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