  The nonperturbative approach to soft high-energy hadron-hadron scattering,
based on the analytic continuation of Euclidean Wilson-loop correlation
functions, makes possible the investigation of the problem of the asymptotic
energy dependence of hadron-hadron total cross sections by means of lattice
calculations. In this contribution we compare the lattice numerical results to
analytic results obtained with various nonperturbative techniques. We also
discuss the possibility to obtain indications of the rise of hadron-hadron
total cross sections with energy directly from the lattice data.
