On four-point functions and integrability in N=4 SYM: from weak to strong coupling

TL;DR

This paper explores four-point functions in N=4 SYM using integrability, bridging weak and strong coupling regimes, and demonstrating agreement in a specific limit.

Contribution

It provides the first computation of four-point functions for arbitrary-sized operators at weak coupling and connects these results with strong coupling predictions.

Findings

Weak coupling results match strong coupling in the Frolov-Tseytlin limit

Four-point functions computed for operators of any size

Demonstrates integrability techniques' effectiveness in gauge theory

Abstract

Using integrability techniques, we compute four-point functions of single trace gauge-invariant operators in N=4 SYM to leading order at weak coupling. Our results are valid for operators of arbitrary size. In particular, we study the limit in which two of the four operators are taken to be much smaller than the others. We show that in this limit our weak coupling result matches with the strong coupling result in the Frolov-Tseytlin limit.