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 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

question: how to ensure that the local environment is secure? We answer by giving a confinement criterion: if the type of the local environment satisfies it, then no mobile program can directly access to a local resource. The criterion, which is typebased and hence decidable, is valid for a functional

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

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

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

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

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 color confinement criterion and Gribov-Zwanziger horizon condition

Kugo–Ojima color confinement criterion and Gribov-Zwanziger horizon condition