Overlap quark propagator in the Landau gauge

Abstract

The properties of the quark propagator in Landau gauge in quenched QCD are examined for the overlap quark action. The overlap quark action satisfies the Ginsparg-Wilson relation and as such provides an exact lattice realization of chiral symmetry. This in turn implies that the quark action is free of O(a) errors. We present results using the standard Wilson fermion kernel in the overlap formalism on a 12 3 × 24 lattice at a spacing of 0.125 fm. We obtain the nonperturbative momentum-dependent wavefunction renormalization function Z(p) and the nonperturbative mass function M (p) for a variety of bare masses. We perform a simple extrapolation to the chiral limit for these functions. We clearly observe the dynamically generated infrared mass and confirm the qualitative behavior found for the Landau gauge quark propagator in earlier studies. We attempt to extract the quark condensate from the asymptotic behavior of the mass function in the chiral limit.

Quark propagation in the instantons of lattice QCD

“…We average data over spatial symmetries and choose p ¼ 5 GeV as the renormalization point for Z ðRÞ , with Z ðRÞ ðp ¼ 5 GevÞ ¼ 1. We apply a cylinder cut [30] to data with a radius of 2a , and estimate errors using a second-order single-elimination jack-knife method. Z ðRÞ is plotted in Fig.…”

“…This is sufficient to prevent additive quark mass renormalization [28], greatly simplifying propagator analysis [29][30][31]. The massive overlap operator is then given by…”

“…This can be defined as having the inverse S À1 ðpÞ i X ðC ðpÞ Þ þ BðpÞ i6 qAðpÞ þ BðpÞ; (25) where 6 q is defined [30] by the tree level propagator, calculated with U ðxÞ ¼ 1,…”

QCD Green functions in a gluon field

“…3 of Ref. [5]. Let us mention that the above solutions S 1 and S 2 for the quark propagator were previously obtained in a different framework [6], and recently within a model assuming the presence of an A a µ A µ a condensate [7].…”

Center vortices and the quark propagator in SU(2) gauge theory

“…The Landau-gauge quark propagator has been studied widely in SU(3) gauge theory using Wilsonclover, staggered-type, and overlap actions in quenched and unquenched simulations (see, e.g., Refs. [12][13][14][15][16][17][18][19][20]). It has been shown that the quark propagator obtained with the AsqTad-improved staggered quark action possesses good symmetry properties and is well behaved at large momenta (see, e.g., Ref.…”