Quantum Integrability for Three-Point Functions

TL;DR

This paper uses integrability to analyze quantum corrections to three-point functions in N=4 Super-Yang-Mills theory, revealing new algebraic structures at one loop and matching strong coupling predictions.

Contribution

It introduces new algebraic structures that govern loop corrections and unify tree-level contractions with quantum corrections in the theory.

Findings

New algebraic structures at one loop

Automatic incorporation of one loop corrections

Matching strong coupling predictions

Abstract

Quantum corrections to three-point functions of scalar single trace operators in planar N=4 Super-Yang-Mills theory are studied using integrability. At one loop, we find new algebraic structures that not only govern all two loop corrections to the mixing of the operators but also automatically incorporate all one loop diagrams correcting the tree level Wick contractions. Speculations about possible extensions of our construction to all loop orders are given. We also match our results with the strong coupling predictions in the classical (Frolov-Tseytlin) limit.