Implementation of the Duality between Wilson loops and Scattering Amplitudes in QCD

TL;DR

This paper extends the duality between Wilson loops and scattering amplitudes from supersymmetric theories to large-N QCD, linking Wilson loop area-law behavior with Regge-Veneziano scattering at high energies.

Contribution

It generalizes the Wilson loop/scattering amplitude duality to large-N QCD, connecting asymptotic Wilson loop behavior with high-energy scattering amplitudes.

Findings

Wilson loop area-law behavior is dual to Regge-Veneziano scattering.

Duality holds for small quark mass and large particle number.

Identifies asymptotes of disk amplitude with Wilson loops in flat space.

Abstract

We generalize modern ideas about the duality between Wilson loops and scattering amplitudes in ${\cal N}$=4 SYM to large-N (or quenched) QCD. We show that the area-law behavior of asymptotically large Wilson loops is dual to the Regge-Veneziano behavior of scattering amplitudes at high energies and fixed momentum transfer, when quark mass is small and/or the number of particles is large. We elaborate on this duality for string theory in a flat space, identifying the asymptotes of the disk amplitude and the Wilson loop of large-N QCD.