2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/184563We compare quantum corrections to semiclassical spinning strings in AdS(5)xS(5) to one-loop anomalous dimensions in N=4 supersymmetric gauge theory. The latter are computed using the reduced (Landau-Lifshitz) sigma model and with the help of the Bethe ansatz. The results of all three approaches are in remarkable agreement with each other. As a byproduct we establish the relationship between linear instabilities in the Landau-Lifshitz model and analyticity properties of the Bethe ansatz.23 pages. v2: references added, v3: misprints corrected and references addedHigh Energy Physics - TheoryStatistical Mechanicstext