Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices

Details Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices Scaling study of the gluon propagator in Coulomb gauge QCD on isotropic and anisotropic lattices

2011-05-31

arxiv.org/abs/1105.6185v1

Phys.Rev.D83:114503,2011

Physics

High Energy Physics

High Energy Physics - Lattice

29 pages, 18 figures

Scientific paper

10.1103/PhysRevD.83.114503

We calculate the transverse and time-time components of the instantaneous gluon propagator in Coulomb gauge QCD by using an SU(3) quenched lattice simulation on isotropic and anisotropic lattices. We find that the gluon propagators suffer from strong discretization effects on the isotropic lattice; on the other hand, those on the anisotropic lattices give a better scaling. Moreover, on these two type of lattices the transverse parts are significantly suppressed in the infrared region and have a turnover at about 500 [MeV]. The high resolution to the temporal direction due to the anisotropy yields small discretization errors for the time-time gluon propagators, which also show an infrared enhancement as expected in the Gribov-Zwanziger confinement scenario.

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