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 (13)

• Gluon scattering amplitudes at strong coupling
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• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
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• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
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• Four-Loop Cusp Anomalous Dimension From Obstructions
• Long-range SL(2) Baxter equation in N=4 super-Yang-Mills theory
• Infrared Limit of Gluon Amplitudes at Strong Coupling
• Cusped SYM Wilson loop at two loops and beyond
• 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 (20)

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• The Two-Loop Six-Gluon MHV Amplitude in Maximally Supersymmetric Yang-Mills Theory
• Scattering Amplitudes, Wilson Loops and the String/Gauge Theory Correspondence
• BFKL Pomeron, Reggeized gluons and Bern-Dixon-Smirnov amplitudes
• Generating AdS String Solutions
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• Four-gluon scattering at three loops, infrared structure and Regge limit
• Iterated amplitudes in the high-energy limit
• Scattering amplitudes in the Regge limit and the soft anomalous dimension through four loops
• Some properties of the Alday-Maldacena minimum
• The gluon Regge trajectory at three loops from planar Yang-Mills theory
• Boundary Ring: a way to construct approximate NG solutions with polygon boundary conditions: I. Z_n-symmetric configurations
• 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
• The Open String Regge Trajectory and Its Field Theory Limit
• The long road from Regge poles to the LHC
• Resolution of Infrared Divergences in Gluon-Gluon Scattering Regulated on a Lightcone Worldsheet Lattice
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes