  We study the renormalisation of $SU(N_c)$ gauge theories on general
anisotropic lattices, to one-loop order in perturbation theory, employing the
background field method. The results are then applied in the context of two
different approaches to hadronic high-energy scattering. In the context of the
Euclidean nonperturbative approach to soft high-energy scattering based on
Wilson loops, we refine the nonperturbative justification of the analytic
continuation relations of the relevant Wilson-loop correlators, required to
obtain physical results. In the context of longitudinally-rescaled actions, we
study the consequences of one-loop corrections on the relation between the
$SU(N_c)$ gauge theory and its effective description in terms of
two-dimensional principal chiral models.
