  Vacuum expectation values for one Wegner-Wilson loop representing a moving
quark-antiquark pair are calculated in four-dimensional Euclidean and Minkowski
space-time. The calculation uses gluon field strength correlators with
perturbative gluon exchange and non-perturbative correlations from the
stochastic vacuum model. The expectation value of a Wegner-Wilson loop forming
a hyperbolic angle in Minkowski space-time is connected by an analytical
continuation to the expectation value of the Wegner-Wilson loop in Euclidean
four-space. The obtained result shows how confinement enters into the
light-cone Hamiltonian for valence quarks independently of the chosen model.
