This paper explores the semi-classical limit of the gauge/string correspondence, focusing on string theories dual to four-dimensional gauge theories. The authors apply a world-sheet sigma model approach to identify semi-classical soliton solutions representing highly excited string states, which correspond to gauge theory operators with small anomalous dimensions. The simplest such states are strings on the leading Regge trajectory in AdS₅, with large spin, corresponding to operators with many covariant derivatives. These operators have anomalous dimensions that grow logarithmically with space-time spin. The logarithmic scaling violations are similar to those found in perturbation theory. The paper discusses various highly excited string states, including strings spinning on S⁵, oscillating strings, and arbitrary conformal dimensions. It also examines the logarithmic scaling violations in the perturbative regime of gauge theories, showing that the anomalous dimensions of high-spin operators grow logarithmically with spin. The results are consistent with the AdS/CFT correspondence, where the anomalous dimension of operators is related to the conformal dimension in the dual gauge theory. The authors argue that gauge theory states with large quantum numbers are described by solitons of the nonlinear sigma model. These solitons correspond to string states that are not described by supergravity. The paper also discusses the relation between the gauge theory and string theory, showing that the logarithmic scaling of anomalous dimensions in gauge theories is similar to that in string theory. The results suggest that the gauge theory operators with large spin can be described by non-local stretched string states in AdS₅, and that the anomalous dimensions grow logarithmically with spin. The paper concludes that the gauge/string correspondence provides a powerful tool for understanding the behavior of gauge theories in the semi-classical limit.This paper explores the semi-classical limit of the gauge/string correspondence, focusing on string theories dual to four-dimensional gauge theories. The authors apply a world-sheet sigma model approach to identify semi-classical soliton solutions representing highly excited string states, which correspond to gauge theory operators with small anomalous dimensions. The simplest such states are strings on the leading Regge trajectory in AdS₅, with large spin, corresponding to operators with many covariant derivatives. These operators have anomalous dimensions that grow logarithmically with space-time spin. The logarithmic scaling violations are similar to those found in perturbation theory. The paper discusses various highly excited string states, including strings spinning on S⁵, oscillating strings, and arbitrary conformal dimensions. It also examines the logarithmic scaling violations in the perturbative regime of gauge theories, showing that the anomalous dimensions of high-spin operators grow logarithmically with spin. The results are consistent with the AdS/CFT correspondence, where the anomalous dimension of operators is related to the conformal dimension in the dual gauge theory. The authors argue that gauge theory states with large quantum numbers are described by solitons of the nonlinear sigma model. These solitons correspond to string states that are not described by supergravity. The paper also discusses the relation between the gauge theory and string theory, showing that the logarithmic scaling of anomalous dimensions in gauge theories is similar to that in string theory. The results suggest that the gauge theory operators with large spin can be described by non-local stretched string states in AdS₅, and that the anomalous dimensions grow logarithmically with spin. The paper concludes that the gauge/string correspondence provides a powerful tool for understanding the behavior of gauge theories in the semi-classical limit.