Q potential from strings in curved space-time – classical results

Kinar, Y.; Schreiber, E.; Sonnenschein, Jacob

doi:10.1016/s0550-3213(99)00652-5

Cited by 220 publications

(401 citation statements)

References 13 publications

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“…1b) in the second case. 5 To verify that the lowest eigenvalue ω 2 0 does indeed change sign at these values, we performed a numerical analysis whose results are shown in Fig. 5b and indeed reproduce the expected behavior.…”

Section: The Spherementioning

confidence: 64%

“…This type of calculation was first considered in [2] for the conformal case and was extended to more general cases in [3,4,5,15,29]. Below, we give a brief review of this procedure, adapted to the case where the metric has off-diagonal elements in the directions transverse to the quark-antiquark axis and the B-field has nonzero components.…”

Section: Wilson Loops In Ads/cftmentioning

confidence: 99%

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Stability of string configurations dual to quarkonium states in AdS/CFT

2008

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We extend our earlier work, regarding the perturbative stability of string configurations used for computing the interaction potential of heavy quarks within the gauge/gravity correspondence, to cover a more general class of gravity duals. We provide results, mostly based on analytic methods and corroborated by numerical calculations, which apply to strings in a general class of backgrounds that encompass boosted, spinning and marginally-deformed D3-brane backgrounds. For the case of spinning branes we demonstrate in a few examples that perturbative stability of strings may require strong conditions complementing those following by thermodynamic stability of the dual field theories. For marginally-deformed backgrounds, we find that even in the conformal case stability requires an upper value for the imaginary part σ of the deformation parameter, whereas in regions of the Coulomb branch where there exists linear confinement we find that there exist stable string configurations for certain ranges of values of the parameter σ. We finally discuss the case of open strings with fixed endpoints propagating in Rindler space, which turns out to have an exact classical-mechanical analog.

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Section: The Spherementioning

confidence: 64%

Section: Wilson Loops In Ads/cftmentioning

confidence: 99%

Stability of string configurations dual to quarkonium states in AdS/CFT

2008

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“…We discuss the similarities and the differences of these forms for systems that admit confinement. In an analogous manner to the determination of sufficient conditions for an area law WL [17], we find the sufficient condition for a first order phase transition of the holographic EE. We apply these conditions to several examples including the AdS 5 × S 5 , Dp branes compactified on S 1 , the hard and soft wall models and the Klebanov-Strassler model [18].…”

Section: Introductionmentioning

confidence: 78%

“…We deal with this complicated problem by using holographic duals based on D5 or higher Dp branes (p > 5). Then, performing the usual calculation we find that in spite of the background in question having the IR-geometry suitable to be dual to a confining QFT [17], the phase transition in the EE is absent. We will observe that this is an effect of the UV non-locality of the QFT.…”

Section: Jhep06(2014)005mentioning

confidence: 95%

“…The authors of [17] found that the background admits linear confinement if one of the following conditions is satisfied 1. α (ρ) has a minimum 2. g (ρ) diverges (2.12) and the corresponding string tension is α(ρ Λ ) = 0, where ρ Λ is either the point where α minimizes or where g diverges. In other words, if one of the two conditions above is satisfied, the potential at long distances will behave linearly in L…”

Section: Jhep06(2014)005mentioning

confidence: 99%

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Confinement, phase transitions and non-locality in the entanglement entropy

Kol

Núñez

Schofield

et al. 2014

J. High Energ. Phys.

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In this paper we study the conjectural relation between confinement in a quantum field theory and the presence of a phase transition in its corresponding entanglement entropy. We determine the sufficient conditions for the latter and compare to the conditions for having a confining Wilson line. We demonstrate the relation in several examples. Superficially, it may seem that certain confining field theories with a non-local high energy behavior, like the dual of D5 branes wrapping a two-cycle, do not admit the corresponding phase transition. However, upon closer inspection we find that, through the introduction of a regulating UV-cutoff, new eight-surface configurations appear, that satisfy the correct concavity condition and recover the phase transition in the entanglement entropy. We show that a local-UV-completion to the confining non-local theories has a similar effect to that of the aforementioned cutoff.

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Semiclassical strings on confining backgrounds

Martucci

2005

Fortschritte der Physik

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This paper discusses some results on semiclassical string configurations lying in the IR sector of supergravity backgrounds dual to confining gauge theories. On the gauge theory side, the string states we analyse correspond to Wilson loops, glueballs and KK-hadrons. The 1-loop correction to the classical energy is never subleading, but can be viewed as a coupling dependent rescaling of the dimensionful parameters of the theory.Comment: 11 pages, contribution for the proceedings of the RTN Workshop, Kolymbari, Crete, Greece, 5-10 Sep 200

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Q potential from strings in curved space-time – classical results

Cited by 220 publications

References 13 publications

Stability of string configurations dual to quarkonium states in AdS/CFT

Stability of string configurations dual to quarkonium states in AdS/CFT

Confinement, phase transitions and non-locality in the entanglement entropy

Semiclassical strings on confining backgrounds

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