English

Color Confinement in Lattice Landau Gauge

High Energy Physics - Lattice 2017-08-23 v1

Abstract

The problem of color confinement in lattice Landau gauge QCD is briefly reviewed in the light of Kugo-Ojima criterion and Gribov-Zwanziger theory. The infrared properties of the Landau gauge QCD is studied by the measurement of the gluon propagator, ghost propagator, Kugo-Ojima parameter and the running coupling via β=6.4,324,484\beta=6.4,32^4,48^4 lattice simulation. The data are analyzed in the principle of minimum sensitivity(PMS) in the MOM~\widetilde{MOM} scheme. We observe the running coupling αs(q)\alpha_s(q) has a maximum about 1 and decreases near q=0. The Kugo-Ojima parameter, which is expected to be 1 was about 0.8.

Keywords

Cite

@article{arxiv.hep-lat/0303024,
  title  = {Color Confinement in Lattice Landau Gauge},
  author = {Hideo Nakajima and Sadataka Furui},
  journal= {arXiv preprint arXiv:hep-lat/0303024},
  year   = {2017}
}

Comments

7 pages, 4 figures, SCGT02 conference proceedings, Dec.10-13 2002