Classical Limit of the Three-Point Function from Integrability

TL;DR

This paper derives an analytic expression for the three-point function of large classical non-BPS operators in N=4 Super-Yang-Mills theory within the su(2) sector, revealing a hidden factorization property at weak coupling.

Contribution

It introduces a novel approach to compute three-point functions by uncovering a hidden factorization in Slavnov's determinant in the thermodynamical limit.

Findings

Analytic formula for three-point functions at weak coupling.

Identification of a hidden factorization property.

Application to large classical non-BPS operators.

Abstract

We give analytic expression for the three-point function of three large classical non-BPS operators N=4 Super-Yang-Mills theory at weak coupling. We restrict ourselves to operators belonging to an su(2) sector of the theory. In order to carry out the calculation we derive, by unveiling a hidden factorization property, the thermodynamical limit of Slavnov's determinant.