Constructing the AdS/CFT dressing factor

TL;DR

This paper derives the Hernandez-Lopez phase from first principles, providing a simple integral representation and exploring its potential origin in a nested Bethe ansatz, aiming to inform higher-order quantum dressing factors.

Contribution

It offers a first-principles derivation of the Hernandez-Lopez phase and introduces a simple integral form, advancing understanding of the quantum dressing factor in AdS/CFT.

Findings

Derived a simple integral representation of the Hernandez-Lopez phase

Proposed a possible origin from nested Bethe ansatz structure

Set the stage for constraining higher-order quantum dressing factors

Abstract

We prove the universality of the Hernandez-Lopez phase by deriving it from first principles. We find a very simple integral representation for the phase and discuss its possible origin from a nested Bethe ansatz structure. Hopefully, the same kind of derivation could be used to constrain higher orders of the full quantum dressing factor.