Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence

Abstract

We review, in a self-contained and pedagogical manner, recent developments and techniques for the evaluation of the scattering amplitudes of planar N=4 SYM theory at both weak and strong coupling. Special emphasis is placed on the newly discovered connection between a special class of amplitudes and the expectation values of particular cusped light-like Wilson loops.

100 pages, invited review for Physics Reports

References in corpus (37)

• Gluon scattering amplitudes at strong coupling
• Conformal properties of four-gluon planar amplitudes and Wilson loops
• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
• 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
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
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• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Sharpening The Leading Singularity
• Four-Loop Cusp Anomalous Dimension From Obstructions
• Generating AdS String Solutions
• Lectures on Twistor Strings and Perturbative Yang-Mills Theory
• On the Strong Coupling Scaling Dimension of High Spin Operators
• On T-Duality and Integrability for Strings on AdS Backgrounds
• Strong-coupling expansion of cusp anomaly from quantum superstring
• Leading Singularities of the Two-Loop Six-Particle MHV Amplitude
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory
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Cited by in corpus (23)

• Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes
• Dual Superconformal Symmetry from AdS5 x S5 Superstring Integrability
• All tree-level amplitudes in N=4 SYM
• Exacting N=4 Superconformal Symmetry
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• Scattering in Mass-Deformed N>=4 Chern-Simons Models
• Introduction to AdS-CFT
• Nine-Propagator Master Integrals for Massless Three-Loop Form Factors
• Structure of large spin expansion of anomalous dimensions at strong coupling
• Moduli Dynamics of AdS_3 Strings
• T-Duality, Dual Conformal Symmetry and Integrability for Strings on AdS_5 x S^5
• Symmetries of the N=4 SYM S-matrix
• Minimal surfaces in AdS and the eight-gluon scattering amplitude at strong coupling
• A super MHV vertex expansion for N=4 SYM theory
• Implementation of the Duality between Wilson loops and Scattering Amplitudes in QCD
• Higher point MHV amplitudes in N=4 Supersymmetric Yang-Mills Theory
• BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time
• Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes
• Universal structure of subleading infrared poles at strong coupling
• Algebra of Lax Connection for T-Dual Models
• Coulomb Phase Gluon Scattering at Strong Coupling
• Theoretical Developments in SUSY
• On the Baryonic Density and Susceptibilities in a Holographic Model of QCD