The Bethe Roots of Regge Cuts in Strongly Coupled N=4 SYM Theory

TL;DR

This paper presents an algorithm to compute the remainder function for multi-gluon scattering in strongly coupled N=4 SYM theory, utilizing integrable systems and providing explicit formulas for six and seven gluons, aligning with perturbative predictions.

Contribution

It introduces a general algorithm for calculating the remainder function in multi-Regge kinematics for strongly coupled N=4 SYM, with explicit formulas for six and seven gluons.

Findings

Algorithm successfully computes the remainder function.

Results match expectations from perturbative gauge theory.

Provides explicit formulas for specific gluon numbers.

Abstract

We describe a general algorithm for the computation of the remainder function for n-gluon scattering in multi-Regge kinematics for strongly coupled planar N=4 super Yang-Mills theory. This regime is accessible through the infrared physics of an auxiliary quantum integrable system describing strings in AdS5xS5. Explicit formulas are presented for n=6 and n=7 external gluons. Our results are consistent with expectations from perturbative gauge theory. This paper comprises the technical details for the results announced in arXiv:1405.3658 .