The self-dual gauge fields and the domain wall fermion zero modes

Abstract

A new type of gauge fixing of the Coulomb gauge domain wall fermion system that reduces the fluctuation of the effective running coupling and the effective mass of arbitrary momentum direction including the region outside the cylinder cut region is proposed and tested in the $16^3\times 32\times 16$ gauge configurations of RBC/UKQCD collaboration. The running coupling at the lowest momentum point does not show infrared suppression and compatible with the experimental data extracted from the JLab collaboration. The source of the fluctuation of the effective mass near momentum $p=$0.6GeV region is expected to be due to the domain wall fermion zero modes.

12 pages 2 figures, extended arguments and references added

References in corpus (5)

• Lattice gluodynamics computation of Landau-gauge Green's functions in the deep infrared
• Bound state approach to the QCD coupling at low energy scales
• Kugo-Ojima color confinement criterion and Gribov-Zwanziger horizon condition
• Propagator of the lattice domain wall fermion and the staggered fermion
• Roles of the color antisymmetric ghost propagator in the infrared QCD