Gross-Ooguri Phase Transition at Zero and Finite Temperature: Two Circular Wilson Loop Case

Details Gross-Ooguri Phase Transition at Zero and Finite Temperature: Two Circular Wilson Loop Case Gross-Ooguri Phase Transition at Zero and Finite Temperature: Two Circular Wilson Loop Case

2001-01-31

arxiv.org/abs/hep-th/0101235v3

JHEP 0103:003,2001

Physics

High Energy Physics

High Energy Physics - Theory

13pages, 6 postscript figures, published version in JHEP

Scientific paper

10.1088/1126-6708/2001/03/003

In the context of $AdS/CFT$ correspondence the two Wilson loop correlator is examined at both zero and finite temperatures. On the basis of an entirely analytical approach we have found for Nambu-Goto strings the functional relation $d S_c^{(Reg)} / dL = 2 \pi k$ between Euclidean action $S_c$ and loop separation $L$ with integration constant $k$, which corresponds to the analogous formula for point-particles. The physical implications of this relation are explored in particular for the Gross-Ooguri phase transition at finite temperature.

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