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We present the first results of numerical test of the Kugo-Ojima confinement criterion in the lattice Landau gauge. The Kugo-Ojima criterion of colour confinement in the BRS formulation of the continuum gauge theory is given by…

高能物理 - 格点 · 物理学 2015-06-25 H. Nakajima , S. Furui

The first test of the Kugo-Ojima colour confinement criterion by the lattice Landau gauge QCD simulation is performed. The parameter u which is expected to be -1\delta^a_b in the continuum theory was found to be -0.7\delta^a_b in the strong…

高能物理 - 格点 · 物理学 2009-10-31 Hideo Nakajima , Sadataka Furui

We discuss that the deviation of the Kugo-Ojima color confinement parameter $u(0)$ from -1 in the case of quenched lattice simulation and the consistency with -1 in the case of full QCD simulation could be attributed to the boundary…

高能物理 - 格点 · 物理学 2017-08-23 Sadataka Furui

All colored particles including dynamical quarks and gluons are confined if the color confinement criterion proposed by Kugo and Ojima is satisfied. The criterion was obtained under the gauge fixing of the Lorenz type. However, it was…

高能物理 - 理论 · 物理学 2022-05-25 Kei-Ichi Kondo , Naoki Fukushima

The Kugo-Ojima color confinement criterion, which is based on the BRST symmetry of the continuum QCD is numerically tested by the lattice Landau gauge simulation. We first discuss the Gribov copy problem and the BRST symmetry on the…

高能物理 - 格点 · 物理学 2007-05-23 Hideo Nakajima , Sadataka Furui , Azusa Yamaguchi

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…

高能物理 - 格点 · 物理学 2009-11-10 Sadataka Furui

The Kugo-Ojima color confinement criterion, which is based on the BRST symmetry of QCD is numerically tested by the lattice Landau gauge simulation. We first discuss the BRST symmetry on the lattice and the Gribov copy problem. The horizon…

高能物理 - 格点 · 物理学 2007-05-23 Hideo Nakajima , Sadataka Furui

The running coupling and the Kugo-Ojima parameter of the confinement criterion are measured for the quenched SU(3) \beta=6.4, 6.45, 56^4 lattice and the unquenched \beta=5.2, 20^3 x 48 lattice of JLQCD, \beta=2.1, \kappa=0.1357, 0.1382,…

高能物理 - 格点 · 物理学 2009-11-10 Sadataka Furui , Hideo Nakajima

The colour confinement criterion proposed by Kugo and Ojima is tested in the lattice Landau gauge QCD simulation. The renormalization effects are studied by measuring the gluon propagator, ghost propagator, three gluon vertex and the…

高能物理 - 格点 · 物理学 2007-05-23 Sadataka Furui , Hideo Nakajima

In Landau gauge QCD the Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators are reviewed. It is demonstrated that the realization of this confinement criterion (which is closely…

核理论 · 物理学 2009-11-10 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

As has been recently realized, a certain two-point function $\Lambda$ -- and its associated form factors G and L -- play a prominent role in the PT-BFM formulation of the Schwinger-Dyson equations used to study gauge-invariantly the gluon…

高能物理 - 唯象学 · 物理学 2015-05-20 Daniele Binosi

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…

高能物理 - 格点 · 物理学 2017-08-23 Hideo Nakajima , Sadataka Furui

The Kugo-Ojima confinement criterion is verified in the unquenched Landau gauge QCD simulation. The valence quark propagator of the Kogut-Susskind fermion with use of the fermion action including the Naik term and the staple contribution is…

高能物理 - 格点 · 物理学 2007-05-23 Hideo Nakajima , Sadataka Furui

Prerequisites of confinement in the covariant and local description of QCD are reviewed. In particular, the Kugo-Ojima confinement criterion, the positivity violations of transverse gluon and quark states, and the conditions necessary to…

高能物理 - 唯象学 · 物理学 2007-05-23 Reinhard Alkofer , Lorenz von Smekal , Peter Watson

We carry out a numerical simulation of a domain-wall model in (4+1) dimensions, in the presence of a quenched U(1) dynamical gauge field only in an extra dimension, corresponding to the weak coupling limit of a (4-dimensional) physical…

高能物理 - 格点 · 物理学 2009-10-28 S. Aoki , K. Nagai

In this talk we want to discuss the color confinement criterion which guarantees confinement of all colored particles including dynamical quarks and gluons. The most well-known criterion is the Kugo-Ojima color confinement criterion derived…

高能物理 - 理论 · 物理学 2021-12-14 Kei-Ichi Kondo , Naoki Fukushima

The Kugo-Ojima confinement criterion and its relation to the infrared behaviour of the gluon and ghost propagators in Landau gauge QCD are reviewed. The realization of this confinement criterion (which in Landau gauge relates to Zwanziger's…

高能物理 - 唯象学 · 物理学 2017-08-23 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal

In addition to its connection with a standard confinement criterion, the Kugo-Ojima function constitutes an indispensable component in a multitude of applications in the gauge sector of QCD. In the present work we report on preliminary…

We have carried out a numerical simulation of a domain-wall model in $(2+1)$-dimensions, in the presence of a dynamical gauge field only in an extra dimension, corresponding to the weak coupling limit of a ( 2-dimensional ) physical gauge…

高能物理 - 格点 · 物理学 2009-10-28 S. Aoki , K. Nagai

We report on a calculation of $B_K$ with domain wall fermion action in quenched QCD. Simulations are made with a renormalization group improved gauge action at $\beta=2.6$ and 2.9 corresponding to $a^{-1}\approx 2$GeV and 3GeV. Effects due…

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