A holographic critical point

DeWolfe, Oliver; Gubser, Steven S.; Rosen, Christopher

doi:10.48550/arxiv.1012.1864

Cited by 49 publications

(133 citation statements)

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“…However such a systematic search of the phase space in the (T, µ) plane lies outside the domain of validity of the analytic solution presented here. It would require the use of numerical techniques, along the lines of the recent work [24] and certainly constitutes a natural continuation of the present work.…”

Section: Discussionmentioning

confidence: 93%

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D3-D7 quark-gluon plasmas at finite baryon density

Bigazzi

Cotrone

Mas

et al. 2011

J. High Energ. Phys.

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We present the string dual to SU(N c ) N = 4 SYM, coupled to N f massless fundamental flavors, at finite temperature and baryon density. The solution is determined by two dimensionless parameters, both depending on the 't Hooft coupling λ h at the scale set by the temperature T : ǫ h ∼ λ h N f /N c , weighting the backreaction of the flavor fields, where n b is the baryon density. For small values of these two parameters the solution is given analytically up to second order. We study the thermodynamics of the system in the canonical and grand-canonical ensembles. We then analyze the energy loss of partons moving through the plasma, computing the jet quenching parameter and studying its dependence on the baryon density. Finally, we analyze certain "optical" properties of the plasma. The whole setup is generalized to non abelian strongly coupled plasmas engineered on D3-D7 systems with D3-branes placed at the tip of a generic singular Calabi-Yau cone. In all the cases, fundamental matter fields are introduced by means of homogeneously smeared D7-branes and the flavor symmetry group is thus a product of abelian factors.

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Section: Discussionmentioning

confidence: 93%

“…where the last term in the equation for H 3 has to be meant as an eight-form: in particular δ (2) (D7) is a short-hand notation for the form which arises taking the derivative w.r.t. F of 24 In our conventions F 2 p = 1 p! (F p ) a1a2...ap (F p ) a1a2...ap (also for H 3 ).…”

Section: A Technical Details A1 Equations Of Motion From the Ten Dime...mentioning

confidence: 99%

D3-D7 quark-gluon plasmas at finite baryon density

Bigazzi

Cotrone

Mas

et al. 2011

J. High Energ. Phys.

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“…As explained above, if the plasma is cooled to a sufficient degree it must, at some special density ρ [which depends of course on its initial temperature and chemical potential] be replaced by some other state. According to our proposal, this happens when the radial coordinate at the event horizon of the dual black hole satisfies equation (23). Using this equation and the relation ρ = M * /r n eh , we can compute the value of M * /L 2n when ρ = ρ: it is given by M…”

Section: Brane Probes Of the Black Hole Geometrymentioning

confidence: 99%

A universal lower bound on the specific temperatures of AdS-Reissner–Nordström black holes with flat event horizons

McInnes

2011

Nuclear Physics B

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We show that, in a gravitational theory [in any number of dimensions greater than 3] which admits BPS branes and AdS-Reissner-Nordström black holes with flat event horizons, the specific [dimensionless] temperature of such a black hole is bounded below by ≈ 0.156875. This confirms the recent suggestion by Hartnoll and Tavanfar, to the effect that no such black hole can be arbitrarily cold, since from the AdS/CFT dual point of view the low-temperature degrees of freedom should not be concealed by the equivalent of an event horizon.

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“…Thermodynamics of a charged dilatonic black hole, which is asymptotically RN-AdS black hole in the UV and AdS 2 ×R 3 in the IR, including the quark number susceptibility was extensively studied in [141]. The critical end point of the QCD phase diagram was studied in [142] by considering the critical exponents of the specific heat, number density, quark number susceptibility, and the relation between the number density and chemical potential at finite chemical potential and temperature. It is shown that the critical end point located at T = 143 MeV and µ = 783 MeV in the QCD phase diagram [142].…”

Section: Equation Of State and Susceptibilitymentioning

confidence: 99%

“…The critical end point of the QCD phase diagram was studied in [142] by considering the critical exponents of the specific heat, number density, quark number susceptibility, and the relation between the number density and chemical potential at finite chemical potential and temperature. It is shown that the critical end point located at T = 143 MeV and µ = 783 MeV in the QCD phase diagram [142].…”

Section: Equation Of State and Susceptibilitymentioning

confidence: 99%

Holography at Work for Nuclear and Hadron Physics

Kim

2011

Advances in High Energy Physics

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The purpose of this review is to provide basic ingredients of holographic QCD to nonexperts in string theory and to summarize its interesting achievements in nuclear and hadron physics. We focus on results from a less stringy bottom-up approach and review a stringy top-down model with some calculational details. 1 The approaches based on the Anti de Sitter/conformal field theory (AdS/CFT) correspondence [1-3] find many interesting possibilities to explore strongly interacting systems. The discovery of D-branes in string theory [4] was a crucial ingredient to put the correspondence on a firm footing. Typical examples of the strongly interacting systems are dense baryonic matter, stable/unstable nuclei, strongly interacting quark gluon plasma, and condensed matter systems. The morale is to introduce an additional space, which roughly corresponds to the energy scale of 4D boundary field theory, and try to construct a 5D holographic dual model that captures certain non-perturbative aspects of strongly coupled field theory, which are highly non-trivial to analyze in conventional quantum field theory based on perturbative techniques. There are in general two different routes to modeling holographic dual of quantum chromodynamics (QCD). One way is a top-down approach based on stringy D-brane configurations. The other way is so-called a bottom-up approach to a holographic, in which a 5D holographic dual is constructed from QCD. Despite the fact that this bottom-up approach is somewhat ad hoc, it reflects some important features of the gauge/gravity duality and is rather successful in describing properties of hadrons. However, we should keep in mind that a usual simple, tree-level analysis in the holographic dual model, both top-down and bottom-up, is capturing the leading N c contributions, and we are bound to suffer from sub-leading corrections.The goal of this review is twofold. First, we will assemble results mostly from simple bottomup models in nuclear and hadron physics. Surely we cannot have them all here. We will devote to selected physical quantities discussed in the bottom-up model. The selection of the topics is based on authors' personal bias. Second, we present some basic materials that might be useful to understand some aspects of AdS/CFT and D-brane models. We will focus on the role of the AdS/CFT in low energy QCD. Although the correspondence between QCD and gravity theory is not known, we can obtain much insights on QCD by the gauge/gravity duality.We organize this review as follows. Section 2 reviews the gauge/gravity. Section 3 briefly discuss developments of holographic QCD and demonstrates how to build up a bottom-up model using the AdS/CFT dictionary. After discussing the gauge/gravity duality and modeling in the bottom-up approach, we proceed with selected physical quantities. In each section, we show results mostly from the bottom-up approach and list some from the top-down model. Section 4 deals with vacuum condensates of QCD in holographic QCD. We will mainly discuss the gluon condensate and the...

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A holographic critical point

Cited by 49 publications

References 0 publications

D3-D7 quark-gluon plasmas at finite baryon density

D3-D7 quark-gluon plasmas at finite baryon density

A universal lower bound on the specific temperatures of AdS-Reissner–Nordström black holes with flat event horizons

Holography at Work for Nuclear and Hadron Physics

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