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

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arxiv hep-th/0101235 v3 pith:6SDWOODB submitted 2001-01-31 hep-th hep-ph

classification hep-thhep-ph
keywords finiteloopgross-ooguriphaserelationtemperaturetransitionwilson
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abstract

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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Wilson surface correlator in AdS/CFT

    hep-th 2026-08 conditional novelty 6.0 of 10

    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.

  2. A Simple Model of Superconductors: Insights from Free Fermion and Boson Gases

    cond-mat.supr-con 2024-11 reject novelty 2.0 of 10

    The paper rearranges the textbook ideal Fermi gas relation into an expression for the Cooper-pair fraction 2r/N in terms of a measured Fermi energy, without adding a predictive model.

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