Scattering amplitudes, Wilson loops and the string/gauge theory correspondence

2008/07/11 by Luis F. Alday, Radu Roiban · 3 citations
Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Connection (principal bundle) #Coupling (piping) #Gauge (firearms) #Gauge theory #Geometry #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Planar #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Scattering #Scattering amplitude #String (physics) #String field theory #String theory #Supersymmetric gauge theory #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.physrep.2008.08.002

100 pages, invited review for Physics Reports

arxiv created 2008/07/11 · openalex publication_date 2008/09/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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.

Citations

• On collinear factorization of Wilson loops and MHV amplitudes in 𝒩 = 4 SYM
• Sharpening The Leading Singularity
• Long-Range PSU(2,2|4) Bethe Ansaetze for Gauge Theory and Strings
• Two-loop soft anomalous dimension matrix and resummation at next-to-next-to-leading poles
• Meson spectroscopy in AdS/CFT with flavour
• On planar gluon amplitudes/Wilson loops duality
• Automatized analytic continuation of Mellin–Barnes integrals
• Gluon scattering in deformed N=4 SYM
• One-loop self-dual and N = 4 super Yang-Mills
• Dressing the giant gluon
• Two-Loop Iteration of Five-PointN=4Super-Yang-Mills Amplitudes
• On the strong coupling scaling dimension of high spin operators
• Aspects of semiclassical strings in AdS5
• New recursion relations for tree amplitudes of gluons
• Two-loop amplitudes of gluons and octa-cuts in Script N = 4 super Yang-Mills
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
• Conformal SO(2, 4) transformations of the one-cusp Wilson loop surface
• Test of the Anti–de Sitter-Space/Conformal-Field-Theory Correspondence Using High-Spin Operators
• Calculating Scattering Amplitudes Efficiently
• BFKL Pomeron, Reggeized gluons, and Bern-Dixon-Smirnov amplitudes
• The large N limit of superconformal field theories and supergravity

Cited by

• Semiclassical Regge trajectories of noncritical string and large-N QCD
• Simplifying multiloop integrands and ultraviolet divergences of gauge theory and gravity amplitudes
• Massive quark scattering at strong coupling from AdS/CFT