The gluon and ghost propagators in Landau Gauge Yang-Mills Theory are investigated. Self-consistent solutions are obtained from their equations of motion above and below the presumed phase transition. Gluon confinement is manifest in these solutions and can be read off the infrared behavior of the gluon and ghost propagators. Confinement prevails below the presumed phase transition. Above and i...

In the continuum regime the running coupling constant of QCD, obtained through the ghost-gluon vertex in maximally Abelian gauge (MAG), depends only on the renormalization factor of the diagonal gluon propagator, due to cancellation of the other renormalization factors. This fact is a clear manifestation of Abelian dominance. In this work we present a tree-level calculation (Feynman rules) of t...

We summarise results on the infrared behaviour of Landau gauge QCD from the Green’s functions approach and lattice calculations. Approximate, nonperturbative solutions for the ghost, gluon and quark propagators as well as first results for the quark-gluon vertex from a coupled set of Dyson-Schwinger equations are compared to quenched and unquenched lattice results. Almost quantitative agreement...

We calculate the classical gluon field of a fast projectile passing through a dense medium. We show that this allows us to calculate both the initial state gluon production in proton-nucleus collisions and the final state gluon radiation off a hard parton produced in nucleus-nucleus collisions. This unified description of these two phenomena makes the relation between the saturation scale Qs an...

We present nonlinear (NL) and higher twist (HT) corrections to the color dipole model (CDM) bounds at low values of $x$ $Q^{2}$ using parameterization method. Consistency between this region describe that a transition from linear behavior is dependence on gluon distribution function. The parameters in are comparable with $Q^{2}$. Consequently, obtained reduced cross sections moderate due NL+HT ...

In order to check the compatibility of the gluon Reggeization in QCD with the s-channel unitarity, the one-loop correction to the Reggeon-Reggeon-gluon vertex must be known at arbitrary space-time dimension D. We obtain this correction from the gluon production amplitude in the multi-Regge kinematics and present an explicit expression for it in terms of a few integrals over the transverse momen...