The two independent correlation functions describing nonperturbative p
roperties of the QCD vacuum are taken into account in the evaluation o
f the observables of soft high-energy hadron-hadron scattering. The mo
del of the stochastic vacuum provides the framework in which a simple
and effective description of the high-energy pp and (p) over bar p dat
a can be given, leading to a determination of relevant parameters of n
onperturbative QCD and to a good description of the data. The ratio be
tween the non-Abelian and the Abelian parts of the field correlations
is studied in terms only of high-energy data and the results are compa
red to lattice calculations. It is shown that a slow increase of the h
adronic radii with the energy accounts for the energy dependence of al
l observables.