We review the present theoretical and empirical knowledge for α s, the fundamental
coupling underlying the interactions of quarks and gluons in Quantum Chromodynamics …

Dyson–Schwinger equations furnish a Poincaré covariant framework within which to study
hadrons. A particular feature is the existence of a nonperturbative, symmetry preserving …

I review recent results on the infrared properties of QCD from Dyson–Schwinger equations.
The topics include infrared exponents of one-particle irreducible Green's functions, the fixed …

We present rigorous upper and lower bounds for the zero-momentum gluon propagator D
(0) of Yang-Mills theories in terms of the average value of the gluon field. This allows us to …

The coupled system of renormalized Dyson-Schwinger equations for the quark, gluon, and
ghost propagators of the Landau gauge QCD is solved within truncation schemes. These …

Lattice simulations of the QCD correlation functions in the Landau gauge have established
two remarkable facts. First, the coupling constant in the gauge sector—defined, eg, in the …

In the covariant description of confinement, one expects the ghost correlations to be infrared
enhanced. Assuming ghost dominance, the long-range behavior of gluon and ghost …

We examine analytically the ghost propagator Dyson-Schwinger Equation (DSE) in the deep
IR regime and prove that a finite ghost dressing function at vanishing momentum is an …

We explore the analytic structure of the gluon and quark propagators of Landau gauge QCD
from numerical solutions of the coupled system of renormalized Dyson-Schwinger equations …

The interplay between the finite volume and finite lattice spacing is investigated using lattice
QCD simulations to compute the Landau gauge gluon propagator. Comparing several …