On the Strong Coupling Scaling Dimension of High Spin Operators

TL;DR

This paper provides an exact analytic solution for the strong coupling limit of high spin operators in N=4 gauge theory, confirming string theory predictions and enabling systematic perturbation theory development.

Contribution

It offers the first exact analytic solution to the integral equation governing the strong coupling limit, bridging gauge theory and string theory results.

Findings

Solution agrees with string theory predictions

Confirms earlier numerical analyses

Lays groundwork for perturbation theory at strong coupling

Abstract

We give an exact analytic solution of the strong coupling limit of the integral equation which was recently proposed to describe the universal scaling function of high spin operators in N = 4 gauge theory. The solution agrees with the prediction from string theory, confirms the earlier numerical analysis and provides a basis for developing a systematic perturbation theory around strong coupling.