Wilson Loop Correlator in the AdS/CFT Correspondence

Details Wilson Loop Correlator in the AdS/CFT Correspondence Wilson Loop Correlator in the AdS/CFT Correspondence

1999-04-21

arxiv.org/abs/hep-th/9904149v1

Phys.Lett. B459 (1999) 527-534

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 3 figures

Scientific paper

10.1016/S0370-2693(99)00717-0

The AdS/CFT correspondence predicts a phase transition in Wilson loop correlators in the strong coupling N=4, D=4 SYM theory which arises due to instability of the classical string stretched between the loops. We study this transition in detail by solving equations of motion for the string in the particular case of two circular Wilson loops. The transition is argued to be smoothened at finite `t Hooft coupling by fluctuations of the string world sheet and to be promoted to a sharp crossover. Some general comments about Wilson loop correlators in gauge theories are made.

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