Correlators of circular Wilson loops from holography

Armoni, Adi; Piai, Maurizio; Teimouri, Ali

doi:10.1103/physrevd.88.066008

Cited by 7 publications

(8 citation statements)

References 37 publications

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“…In this section, we summarise known general results and fix the notation, keeping explicitly the dependence on the UV regulator. Some of the considerations developed here can be found, in different but related contexts, in [28][29][30][31][32][33][34]. We then discuss the case in which a certain class of phase transitions occur in the presence of a finite cutoff, which would be missed by a too naive implementation of the renormalisation procedure.…”

Section: Discussionmentioning

confidence: 99%

Gauge/gravity dualities and bulk phase transitions

2014

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We consider D7-branes probing several classes of Type IIB supergravity backgrounds, and study the classical problem of finding equilibrium configurations for the embedding functions. This is a method employed to model chiral symmetry breaking in the gravity dual of a strongly-coupled, confining gauge theory. We unveil and discuss a new type of phase transition appearing in the gravity systems, which is similar in nature and meaning to bulk phase transitions on the lattice. The existence of this genre of phase transition puts a new, intrinsic limit on the region of parameter space which can be used to study the physics of the dual field theory. We complete the analysis of D7 embeddings in wrapped-D5 supergravity backgrounds, and explain in what cases chiral-symmetry breaking is sensibly modelled by the gravity construction.Comment: 15 pages, 9 figures; v2 minor corrections, results and analysis unaffected; version to appear in Phys.Rev.

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Section: Discussionmentioning

confidence: 99%

Gauge/gravity dualities and bulk phase transitions

2014

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“…This problem, for the case of concentric circular Wilson loops in N = 4 super Yang-Mills has been extensively studied since the early days of the AdS/CFT correspondence proposal, either by string theory or field theory means [5,6,7,8,9,10,11,12]. Similar problems in other alternative setups have also been considered [13,14,15,16,17,18,19,20,21,22].…”

Section: Introductionmentioning

confidence: 99%

“…As we shall see, from (10) and (11) it is possible to obtain the internal space separation γ, the onshell action and the integrals in (13) and (14) in terms of elliptic functions. In order to simplify the expressions it is convenient to introduce a coordinate…”

Section: Introductionmentioning

confidence: 99%

Ladder limit for correlators of Wilson loops

Correa¹,

Pisani²,

Fukelman³

2018

J. High Energ. Phys.

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Abstract:We study the correlator of concentric circular Wilson loops for arbitrary radii, spatial and internal space separations. For real values of the parameters specifying the dual string configuration, a typical Gross-Ooguri phase transition is observed. In addition, we explore some analytic continuation of a parameter γ that characterizes the internal space separation. This enables a ladder limit in which ladder resummation and string theory computations precisely agree in the strong coupling limit. Finally, we find a critical value of γ for which the correlator is supersymmetric and ladder diagrams can be exactly resummed for any value of the coupling constant.

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“…The peak in the R 2 vs. R 1 plot persists as m q → m Q , but increasing the masses of outer and inner quarks to larger value reduces the height of the peak and shifts its location to larger values of R 1 , so that eventually, for m q , m Q → ∞, only region (i) remains and one is left with a simple linear relation between R 1 and R 2 , as expected from e.g. [17].…”

Section: String Worldsheet Instantonmentioning

confidence: 58%

Holographic meson decays via worldsheet instantons

Peeters

Tadeusz

Zamaklar

2018

J. High Energ. Phys.

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We study meson decays using instanton methods in two string models. The first model is the old string model in flat space which combines strings and massive particles and the second is the holographic, Sakai-Sugimoto model. Using the old string model, we reproduce the QCD formula for the probability of splitting of the QCD flux tube derived by Casher-Neuberger-Nussinov (CNN). In the holographic model we construct a string worldsheet instanton which interpolates between a single and double string configuration, which determines the decay from one to two dual mesonic particles. The resulting probability for meson decay incorporates both the effects of finite meson size as well as back-reaction of the produced quarks on the QCD flux tube. In the limit of very large strings the probability for a split reduces to the CNN formula. A byproduct of our analysis is the analysis of the moduli space of a generic double concentric Wilson loop with circles which are separated in the holographic direction of the confining background.

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Correlators of circular Wilson loops from holography

Cited by 7 publications

References 37 publications

Gauge/gravity dualities and bulk phase transitions

Gauge/gravity dualities and bulk phase transitions

Ladder limit for correlators of Wilson loops

Holographic meson decays via worldsheet instantons

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