  The high-energy behavior of N=4 SYM elastic amplitudes at strong coupling is
studied by means of the AdS/CFT correspondence. We consider the eikonal method
proposed by Janik and one of the authors, where the relevant minimal surface is
a "generalized helicoid" in hyperbolic space ("Euclidean AdS_5"), from which
the physical amplitude is obtained after an appropriate analytic continuation.
We then compare our results with those obtained, using a minimal surface in
AdS_5 momentum space, by Alday and Maldacena for gluon-gluon scattering, and by
Barnes and Vaman for quark-quark scattering ("Alday-Maldacena approach").
Exploiting a conformal transformation, we show that the eikonal amplitudes are
dominated by the Euclidean version of the cusp contribution found in the
Alday-Maldacena approach. The amplitudes in the two approaches are of Regge
type at high-energy and with the same logarithmic Regge trajectory
independently of the kind of colliding particles, in agreement with the
expected universality of Regge trajectories.
