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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…

High Energy Physics - Lattice · Physics 2015-06-25 H. Nakajima , S. Furui

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…

High Energy Physics - Lattice · Physics 2007-05-23 Hideo Nakajima , Sadataka Furui , Azusa Yamaguchi

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…

High Energy Physics - Lattice · Physics 2017-08-23 Hideo Nakajima , 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…

High Energy Physics - Lattice · Physics 2007-05-23 Hideo Nakajima , Sadataka 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…

High Energy Physics - Lattice · Physics 2009-10-31 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,…

High Energy Physics - Lattice · Physics 2009-11-10 Sadataka Furui , Hideo Nakajima

We study the structure and non-perturbative properties of a special Green's function, u(q), whose infrared behavior has traditionally served as the standard criterion for the realization of the Kugo-Ojima confinement mechanism. It turns out…

High Energy Physics - Phenomenology · Physics 2011-07-20 A. C. Aguilar , D. Binosi , J. Papavassiliou

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…

High Energy Physics - Theory · Physics 2022-05-25 Kei-Ichi Kondo , Naoki Fukushima

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…

High Energy Physics - Lattice · Physics 2007-05-23 Sadataka Furui , Hideo Nakajima

Critical conjectures on confinement in the Landau gauge is numerically tested in focus to Gribov copy effects. One of the subjects is of the Kugo-Ojima confinement criterion and the other is of various viewpoints in the Gribov-Zwanziger…

High Energy Physics - Lattice · Physics 2009-10-31 Hideo Nakajima , Sadataka Furui , Azusa Yamaguchi

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…

High Energy Physics - Lattice · Physics 2007-05-23 Hideo Nakajima , Sadataka Furui

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…

High Energy Physics - Theory · Physics 2021-12-14 Kei-Ichi Kondo , Naoki Fukushima

The infrared behaviour of QCD Green's functions in Landau gauge has been focus of intense study. Different non-perturbative approaches lead to a prediction in line with the conditions for confinement in local quantum field theory as spelled…

High Energy Physics - Theory · Physics 2008-12-04 Lorenz von Smekal

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…

High Energy Physics - Lattice · Physics 2017-08-23 Sadataka Furui

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…

High Energy Physics - Phenomenology · Physics 2015-05-20 Daniele Binosi

The running coupling and the Kugo-Ojima parameter of unquenched lattice Landau gauge are simulated and compared with the continuum theory. Presence of infrared fixed point of $\alpha_0\sim 2-2.5$ irrespective of the fermion actions (Wilson…

High Energy Physics - Lattice · Physics 2009-09-29 Sadataka Furui , Hideo Nakajima

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…

High Energy Physics - Phenomenology · Physics 2007-05-23 Reinhard Alkofer , Lorenz von Smekal , Peter Watson

Under the assumption that the color charge can be written in a BRST exact form, the color confinement mechanism proposed by Kugo and Ojima (KO) explains the confinement of any colored particles including dynamical quarks and gluons. This…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Hata , I. Niigata

We summarise an analysis of the infrared regime of Landau gauge QCD by means of a flow equation approach. The infrared behaviour of gluon and ghost propagators is evaluated. The results provide further evidence for the Kugo-Ojima…

High Energy Physics - Theory · Physics 2007-05-23 J. M. Pawlowski , D. F. Litim , S. Nedelko , L. von Smekal

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…

Nuclear Theory · Physics 2009-11-10 Reinhard Alkofer , Christian S. Fischer , Lorenz von Smekal
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