String Breaking from Ladder Diagrams in SYM Theory

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.

15 pages, 5 figures; v2: misprint in eq. (3.9) corrected; v4: treatment of inhomogeneous term in the Dyson equation modified

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