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Type: Journal article
Title: Quark propagator in Landau and Laplacian gauges with overlap fermions
Author: Zhang, J.
Bowman, P.
Coad, R.
Heller, U.
Leinweber, D.
Williams, A.
Citation: Physical Review. D. Particles, Fields, Gravitation and Cosmology, 2005; 71(1):014501-01-014501-08
Publisher: American Physical Soc
Issue Date: 2005
ISSN: 1550-7998
Statement of
J. B. Zhang, Patrick O. Bowman, Ryan J. Coad, Urs M. Heller, Derek B. Leinweber, and Anthony G. Williams (CSSM Lattice Collaboration)
Abstract: The properties of the momentum space quark propagator in Landau gauge and Gribov copy free Laplacian gauge are studied for the overlap quark action in quenched lattice QCD. Numerical calculations are done on two lattices with different lattice spacing a and the same physical volume. We have calculated the nonperturbative wave-function renormalization function Z(q) 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 focus on the comparison of the behavior of Z(q) and M(p) in the chiral limit in the two gauge fixing schemes as well as the behavior on two lattices with different lattice spacing a. We find that the mass functions M(p) are very similar for the two gauges while the wave-function renormalization function Z(q) is more strongly infrared suppressed in the Laplacian gauge than in the Landau gauge on the finer lattice. For Laplacian gauge, it seems that the finite a error is large on the coarse lattice which has a lattice spacing a of about 0.124 fm.
Rights: ©2005 The American Physical Society
RMID: 0020050116
DOI: 10.1103/PhysRevD.71.014501
Appears in Collections:Special Research Centre for the Subatomic Structure of Matter publications

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