Regge behavior of gluon scattering amplitudes in N=4 SYM theory

Abstract

It is shown that the four-gluon scattering amplitude for N=4 supersymmetric Yang-Mills theory in the planar limit can be written, in both the weak- and strong-coupling limits, as a reggeized amplitude, with a parent trajectory and an infinite number of daughter trajectories. This result relies crucially on the fact that the leading IR-divergence and the finite log^2(s/t)-dependent piece of the amplitude are characterized by the same function for all values of the coupling, as conjectured by Bern, Dixon, and Smirnov, and proved by Alday and Maldacena in the strong-coupling limit. We use the Alday-Maldacena result to determine the strong-coupling Regge trajectory.

7 pages; v2: minor corrections and clarifications, added references

References in corpus (7)

• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• Infrared Limit of Gluon Amplitudes at Strong Coupling
• Four-Loop Collinear Anomalous Dimension in N = 4 Yang-Mills Theory
• Scattering amplitudes in strongly coupled N=4 SYM from semiclassical strings in AdS

Cited by in corpus (7)

• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Generating AdS String Solutions
• Some properties of the Alday-Maldacena minimum
• Gluon scattering in $\mathcal{N}=4$ Super Yang-Mills at finite temperature
• Boundary Ring or a Way to Construct Approximate NG Solutions with Polygon Boundary Conditions. II. Polygons which admit an inscribed circle
• Comment on the Alday-Maldacena solution in calculating scattering amplitude via AdS/CFT
• "Anomaly" in n=infinity Alday-Maldacena Duality for Wavy Circle