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

TL;DR

This paper demonstrates that four-gluon scattering amplitudes in N=4 SYM theory exhibit reggeized behavior in both weak and strong coupling regimes, characterized by a universal function governing IR divergences and finite parts.

Contribution

It establishes the reggeization of gluon scattering amplitudes in N=4 SYM theory across all coupling regimes, utilizing the Alday-Maldacena strong-coupling results.

Findings

Amplitude exhibits reggeized form with a parent and daughter trajectories.

The same function governs IR divergence and finite parts at all couplings.

Determined the strong-coupling Regge trajectory using AdS/CFT results.

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.