Scaling Violations in Yang-Mills Theories and Strings in AdS_5

Abstract

String solitons in AdS_5 contain information of N=4 SUSY Yang-Mills theories on the boundary. Recent proposals for rotating string solitons reproduce the spectrum for anomalous dimensions of Wilson operators for the boundary theory. There are possible extensions of this duality for lower supersymmetric and even for non-supesymmetric Yang-Mills theories. We explicitly demonstrate that the supersymmetric anomalous dimensions of Wilson operators in N=0,1 Yang-Mills theories behave, for large spin J, at the two-loop level in perturbation theory, like log J. We compile the analytic one- and two-loop results for the N=0 case which is known in the literature, as well as for the N=1 case which seems to be missing.

arXiv comment16 pages, Appendix included in chapter. Version to appear in Nucl.Phys.B

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• On stringy AdS_5 x S^5 and higher spin holography
• Two and three-point correlators of operators dual to folded string solutions at strong coupling
• Rotating membranes on G_2 manifolds, logarithmic anomalous dimensions and N=1 duality
• Spinning Pulsating String Solitons in AdS_5 x S^5
• SL(2) sector: weak/strong coupling agreement of three-point correlators
• Cusped SYM Wilson loop at two loops and beyond
• The property of maximal transcendentality in the N=4 Supersymmetric Yang-Mills
• Novel Explicit Multi Spin String Solitons in AdS(5)
• Improved Stability for Pulsating Multi-Spin String Solitons
• Semi-classical string solutions for N=1 SYM
• Semiclassical quantization of Rotating Strings in Pilch-Warner geometry
• Large spin behavior of anomalous dimensions and short-long strings duality
• Wilson loops and anomalous dimensions in cascading theories
• Open String Fluctuations in AdS with and without Torsion
• Large-Spin Expansions of GKP Strings
• DGLAP and BFKL equations in $\mathcal{N}=4$ SYM: from weak to strong coupling