String Breaking from Ladder Diagrams in SYM Theory

TL;DR

This paper demonstrates that resumming planar diagrams without internal vertices in N=4 SYM theory predicts the string-breaking phase transition, aligning with the string representation from the AdS/CFT correspondence.

Contribution

It shows that a resummation of planar ladder diagrams can reproduce the string-breaking phase transition in SYM theory, matching the string theory prediction.

Findings

Resummation of ladder diagrams predicts the phase transition.

Agreement with string representation in AdS/CFT.

Provides a field-theoretic derivation of string breaking.

Abstract

The AdS/CFT correspondence establishes a string representation for Wilson loops in N=4 SYM theory at large N and large 't Hooft coupling. One of the clearest manifestations of the stringy behaviour in Wilson loop correlators is the string-breaking phase transition. It is shown that resummation of planar diagrams without internal vertices predicts the strong-coupling phase transtion in exactly the same setting in which it arises from the string representation.