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Vortex induced confinement and the Kugo-Ojima confinement criterion

by Kurt Langfeld
"... Abstract. The SU(2) Yang-Mills gluon and ghost Green-functions are studied in Landau gauge by means of lattice gauge simulations. A focal point is their low energy behavior since in particular the Kugo-Ojima confinement criterion relates a diverging ghost form factor at vanishing momentum transfer t ..."
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Abstract. The SU(2) Yang-Mills gluon and ghost Green-functions are studied in Landau gauge by means of lattice gauge simulations. A focal point is their low energy behavior since in particular the Kugo-Ojima confinement criterion relates a diverging ghost form factor at vanishing momentum transfer

The Kugo–Ojima confinement criterion and the Infrared Behavior of Landau gauge QCD ∗

by Reinhard Alkofer A, Christian S. Fischer A , 2008
"... Recent investigations of the Dyson–Schwinger equations and Monte– Carlo lattice calculations resulted in a coherent description of the fully dressed gluon, ghost and quark propagators in Landau gauge QCD. In the Dyson–Schwinger approach the infrared behaviour of these propagators is determined analy ..."
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verification of the Kugo–Ojima confinement criterion. Our numerical analysis clearly reveals positivity violation for the gluon propagator generated by a cut in the complex momentum plane. The non-perturbative strong running coupling resulting from these propagators possesses an infrared fixed point. The quark

1 Test of the Kugo-Ojima Confinement Criterion in the Lattice Landau Gauge

by Hideo Nakajima A, Sadataka Furui B , 1999
"... 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 u a b(0) = −δ a b, where dxe ip(x−y) 〈0|TDµc a (x)g(Aν × ¯c) b (y)|0 〉 ..."
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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 u a b(0) = −δ a b, where dxe ip(x−y) 〈0|TDµc a (x)g(Aν × ¯c) b (y)|0

FAU-TP3-02/29 KUGO–OJIMA CONFINEMENT CRITERION, ZWANZIGER–GRIBOV HORIZON CONDITION, AND INFRARED CRITICAL EXPONENTS IN

by Landau Gauge Qcd, R. Alkofer, C. S. Fischer, L. Von Smekal , 2003
"... 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 horizon condition) results from quite general properties of ..."
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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 horizon condition) results from quite general properties

KUGO–OJIMA CONFINEMENT CRITERION, ZWANZIGER–GRIBOV HORIZON CONDITION, AND INFRARED CRITICAL EXPONENTS IN Landau Gauge QCD

by R. Alkofer, C. S. Fischer, L. von Smekal , 2003
"... 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 horizon condition) results from quite general properties of ..."
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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 horizon condition) results from quite general properties

A test of the Kugo-Ojima confinement criterion by lattice Landau gauge QCD simulations

by Hideo Nakajima, Sadataka Furui , 2000
"... 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 −1δ a b in the continuum theory was found to be −0.7δ a b in the strong coupling region. The data is analysed in connection with the theory o ..."
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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 −1δ a b in the continuum theory was found to be −0.7δ a b in the strong coupling region. The data is analysed in connection with the theory

unknown title

by Sadataka Furui, Sadataka Furui , 908
"... Self-dual gauge fields, domain wall fermion zero modes and the Kugo-Ojima confinement criterion ..."
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Self-dual gauge fields, domain wall fermion zero modes and the Kugo-Ojima confinement criterion

NUMERICAL TESTS OF THE KUGO-OJIMA COLOR CONFINEMENT CRITERION

by Hideo Nakajima, Sadataka Furui , 2000
"... 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 function defined by Zwanziger based on the U-linear definiti ..."
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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 function defined by Zwanziger based on the U

Infrared Exponents and the Running Coupling of Landau gauge QCD and their Relation to Confinement

by R. Alkofer, C. S. Fischer A, L. Von Smekal , 2002
"... Abstract. The infrared behaviour of the gluon and ghost propagators in Landau gauge QCD is reviewed. The Kugo–Ojima confinement criterion and the Gribov–Zwanziger horizon condition result from quite general properties of the ghost Dyson–Schwinger equation. The numerical solutions for the gluon and g ..."
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Abstract. The infrared behaviour of the gluon and ghost propagators in Landau gauge QCD is reviewed. The Kugo–Ojima confinement criterion and the Gribov–Zwanziger horizon condition result from quite general properties of the ghost Dyson–Schwinger equation. The numerical solutions for the gluon

What the Infrared Behavior of QCD . . .

by Lorenz von Smekal
"... In this talk I review aspects of confinement in the covariant and local description of QCD and discuss to what extend our present knowledge about the infrared behavior of QCD Green functions can support this description. Emphasized are in particular: the positivity violations of transverse gluon ..."
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and quark states, the Kugo-Ojima confinement criterion, and the conditions necessary to avoid the decomposition property for colored clusters. I summarize how these issues relate to the infrared behavior of the propagators in Landau gauge QCD as extracted from solutions to truncated Dyson
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