On the Strong Coupling Scaling Dimension of High Spin Operators

Abstract

We give an exact analytic solution of the strong coupling limit of the integral equation which was recently proposed to describe the universal scaling function of high spin operators in N = 4 gauge theory. The solution agrees with the prediction from string theory, confirms the earlier numerical analysis and provides a basis for developing a systematic perturbation theory around strong coupling.

26 pages, 2 figures

References in corpus (12)

• Giant Magnons
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• The AdS_5xS^5 superstring worldsheet S-matrix and crossing symmetry
• Quantum corrections to the string Bethe ansatz
• On AdS_5 x S^5 String S-matrix
• Logarithmic scaling in gauge/string correspondence
• A Test of the AdS/CFT Correspondence Using High-Spin Operators
• On the highest transcendentality in N=4 SUSY
• Connecting giant magnons to the pp-wave: An interpolating limit of $Ad{S}_5\times S^5$
• Four-Loop Cusp Anomalous Dimension From Obstructions
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Integrability and non-perturbative effects in the AdS/CFT correspondence

Cited by in corpus (36)

• Gluon scattering amplitudes at strong coupling
• Hexagon Wilson loop = six-gluon MHV amplitude
• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Comments on operators with large spin
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• On String S-matrix, Bound States and TBA
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• Supersymmetric Wilson loops on S^3
• Two-loop world-sheet corrections in AdS_5 x S^5 superstring
• The Strong Coupling Limit of the Scaling Function from the Quantum String Bethe Ansatz
• A Generalized Scaling Function for AdS/CFT
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Strong coupling limit of Bethe Ansatz equations
• Spinning superstrings at two loops: strong-coupling corrections to dimensions of large-twist SYM operators
• Comment on the Scaling Function in AdS4 x CP3
• Embedding nonlinear O(6) sigma model into N=4 super-Yang-Mills theory
• Scaling function in AdS/CFT from the O(6) sigma model
• A Secret Symmetry of the AdS/CFT S-matrix
• Analytic three-loop Solutions for N=4 SYM Twist Operators
• Strong coupling for planar $\mathcal{N}=4$ SYM theory: an all-order result
• Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
• Fine structure of anomalous dimensions in N=4 super Yang-Mills theory
• Nonperturbative scales in AdS/CFT
• Anomalous dimensions at twist-3 in the sl(2) sector of N=4 SYM
• Factorized world-sheet scattering in near-flat AdS_5 x S^5
• Quark scattering amplitudes at strong coupling
• Reciprocity of gauge operators in N=4 SYM
• Strong coupling expansion of Baxter equation in N=4 SYM
• On the commuting charges for the highest dimension SU(2) operators in planar $\mathcal{N}=4$ SYM
• Fusion hierarchies for N = 4 superYang-Mills theory
• Structure of the string R-matrix
• The 2-loop generalized scaling function from the BES/FRS equation
• On the high spin expansion in the $sl(2)$ $\mathcal{N}=4$ SYM theory
• Generalized Gribov-Lipatov Reciprocity and AdS/CFT
• Microscopic formulation of the S-matrix in AdS/CFT
• Gauge-String Dualities and Some Applications