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

TL;DR

This paper proposes a new gauge fixing method for domain wall fermion systems that stabilizes the effective coupling and mass, aligning with experimental data and addressing zero mode fluctuations.

Contribution

A novel gauge fixing approach for Coulomb gauge domain wall fermions that reduces fluctuations and improves consistency with experimental results.

Findings

Effective coupling shows no infrared suppression.

Fluctuations near 0.6 GeV are linked to zero modes.

Method tested on RBC/UKQCD gauge configurations.

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.