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

Gauge theories of the Yang–Mills type are the single most important building block of the
standard model of particle physics and beyond. They are an integral part of the strong and …

Recent lattice data have reported an infrared suppressed, positivity violating gluon
propagator which is nonvanishing at zero momentum and a ghost propagator which is no …

We discuss the properties of ghost and gluon propagators in the deep infrared momentum
region of Landau gauge Yang–Mills theory. Within the framework of Dyson–Schwinger …

Inspired by an unambiguous observation of Gribov copies on the lattice an old continuum
example due to Henyey is re-analysed in terms of bifurcations at the Gribov horizon. This …

We investigate the 2-point correlation functions of Yang-Mills theory in the Landau gauge by
means of a massive extension of the Faddeev-Popov action. This model is based on some …

The L 2 topology is introduced on the space of gauge connections A and a natural topology
is introduced on the group of local gauge transformations GT. It is shown that the mapping …

We consider the gluon propagator D (p 2) at various lattice sizes and spacings in the case of
pure SU (3) Yang-Mills gauge theories using the Landau gauge fixing. We discuss a class of …

We show that an exact nonperturbative quantization of continuum gauge theory is provided
by the Faddeev-Popov formula in the Landau gauge, δ (∂⋅ A) det [−∂⋅ D (A)] exp [− S YM …

Renormalization of the Coulomb gauge is studied in the phase space formalism, where one
integrates over both the vector potential A, and its canonical momentum Π as well as the …