Anomalous dimensions of high-twist Wilson operators have a nontrivial scaling
behavior in the limit when their Lorentz spin grows exponentially with the
twist. To describe the corresponding scaling function in planar N=4 SYM theory,
we analyze an integral equation recently proposed by Freyhult, Rej and
Staudacher and argue that at strong coupling it can be casted into a form
identical to the thermodynamical Bethe Ansatz equations for the nonlinear O(6)
sigma model. This result is in a perfect agreement with the proposal put
forward by Alday and Maldacena within the dual string description, that the
scaling function should coincide with the energy density of the nonlinear O(6)
sigma model embedded into AdS_5xS^5.Comment: 25 page