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

TL;DR

This paper investigates the behavior of gluon scattering amplitudes in planar N=4 super Yang-Mills theory under multi-Regge limits, providing insights into the validity of the BDS conjecture in these regimes.

Contribution

It analyzes the multi-Regge limit behavior of n-gluon amplitudes within the BDS conjecture, confirming their expected Regge form in the Euclidean region.

Findings

Amplitudes exhibit expected Regge behavior in Euclidean region.

Supports the validity of the BDS conjecture in multi-Regge limits.

Abstract

Planar ${\cal N} =4$ 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.