Implications of multi-Regge limits for the Bern-Dixon-Smirnov conjecture

Abstract

Planar $\mathcal{N}=4$ super Yang-Mills SU(N) theory is expected to exhibit stringy behavior, anticipated by the 't Hooft genus expansion and the $AdS/CFT$ correspondence. We examine the Bern-Dixon-Smirnov (BDS) conjecture for $n$-gluon amplitudes in the context of single-Regge and multi-Regge limits and show that these amplitudes have the expected Regge form in the Euclidean region.

48 pages, 8 figures; Noted added commenting on related work which appeared after the initial posting. References and clarifications added, as well as typos corrected

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Cited by in corpus (38)

• Classical Polylogarithms for Amplitudes and Wilson Loops
• Hexagon Wilson loop = six-gluon MHV amplitude
• Bootstrapping the three-loop hexagon
• The Two-Loop Hexagon Wilson Loop in N = 4 SYM
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Heptagons from the Steinmann Cluster Bootstrap
• An Analytic Result for the Two-Loop Hexagon Wilson Loop in N = 4 SYM
• The infrared structure of gauge theory amplitudes in the high-energy limit
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• Bootstrapping Null Polygon Wilson Loops
• More loops and legs in Higgs-regulated N=4 SYM amplitudes
• Iterated amplitudes in the high-energy limit
• BFKL approach and 2->5 MHV amplitude
• Two-loop graviton scattering relation and IR behavior in N=8 supergravity
• MHV amplitude for 3->3 gluon scattering in Regge limit
• Thermodynamic Bethe Ansatz Equations for Minimal Surfaces in AdS_3
• All-order amplitudes at any multiplicity in the multi-Regge limit
• Analyticity for Multi-Regge Limits of the Bern-Dixon-Smirnov Amplitudes
• The Multi-Regge limit of NMHV Amplitudes in N=4 SYM Theory
• The six-point remainder function to all loop orders in the multi-Regge limit
• All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology
• Null Wilson loops with a self-crossing and the Wilson loop/amplitude conjecture
• The Imaginary Part of the N = 4 Super-Yang-Mills Two-Loop Six-Point MHV Amplitude in Multi-Regge Kinematics
• IR divergences and Regge limits of subleading-color contributions to the four-gluon amplitude in N=4 SYM Theory
• 13th International Conference on Elastic and Diffractive Scattering (Blois Workshop) - Moving Forward into the LHC Era
• A Numerical Study of Gluon Scattering Amplitudes in N=4 Super Yang-Mills Theory at Strong Coupling
• All two-loop MHV remainder functions in multi-Regge kinematics
• Discretized Minimal Surface and the BDS Conjecture in N=4 Super Yang-Mills Theory at Strong Coupling
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle
• Amplitudes in the N=4 SYM from Quantum Geometry of the Momentum Space
• Deviation from Alday-Maldacena Duality For Wavy Circle
• The Open String Regge Trajectory and Its Field Theory Limit
• Twistors, strings and supersymmetric gauge theories
• Resolution of Infrared Divergences in Gluon-Gluon Scattering Regulated on a Lightcone Worldsheet Lattice
• BCFW Deformation and Regge Limit
• A tale of two Regge limits
• On Type 0 Open String Amplitudes and the Tensionless Limit