Comments on Correlation Functions of Large Spin Operators and Null Polygonal Wilson Loops

TL;DR

This paper explores the connection between large spin operator correlation functions and null polygonal Wilson loops, providing semi-classical calculations that confirm the expected divergence behavior at strong coupling.

Contribution

It introduces a semi-classical worldsheet approach to relate large spin correlators with Wilson loops, extending understanding of their divergence structure at strong coupling.

Findings

Divergence of correlators matches Wilson loop expectations

Semi-classical worldsheet resembles GKP rotating string

Results confirm theoretical divergence predictions

Abstract

We discuss the relation between correlation functions of twist-two large spin operators and expectation values of Wilson loops along light-like trajectories. After presenting some heuristic field theoretical arguments suggesting this relation, we compute the divergent part of the correlator in the limit of large 't Hooft coupling and large spins, using a semi-classical worldsheet which asymptotically looks like a GKP rotating string. We show this diverges as expected from the expectation value of a null Wilson loop, namely, as $(\ln{\mu^{-2}})^ 2$, $\mu$ being a cut-off of the theory.