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Wilson Loop Correlator in the AdS/CFT Correspondence
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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.
Forward citations
Cited by 2 Pith papers
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Wilson surface correlator in AdS/CFT
A membrane-minimal-surface calculation in AdS7 predicts a first-order Gross-Ooguri phase transition between two fundamental spherical Wilson surfaces at separation L*/R_b ≈ 0.5843.
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Wilson loops on the Coulomb branch of $N=4$ super-Yang-Mills
Holographic minimal-surface calculation maps the Gross-Ooguri phase transition for circular Wilson loops on the Coulomb branch and indicates tree-level exactness for the straight line.
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