Bulk Filling Branes and the Baryon Density in AdS/QCD with gravity back-reaction

Sang-Jin Sin

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Bulk Filling Branes and the Baryon Density in AdS/QCD with gravity back-reaction

Sang-Jin Sin

High Energy Physics - Theory · Submitted 18 Jul 2007

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim As a consequence, phase diagram changes qualitatively if we allow $N_f/N_c$ finite: it closes at the finite density unlike the probe brane embedding approach.

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What the abstract itself states, as probabilities: claims first 0.06 · states limitation 0.23 · human participants 0.01 · controlled comparison 0.23 · randomized assignment 0.01 · states quantitative result 0.29 · compares with prior results 0.94 · mentions code or data availability 0.01.

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We consider the gravity back reaction on the metric due to the baryon density in effective ads/qcd model by reconsidering the role of the charged AdS black hole. Previously it has been known that the U(1) charge is dual to the R-charge. Here we point out that if we consider the case where $AdS_5$ is completely filled with $N_f$ flavor branes, the gravity back reaction produces charged AdS black hole where the effect of charge on the metric is proportional to $N_f/N_c$. As a consequence, phase diagram changes qualitatively if we allow $N_f/N_c$ finite: it closes at the finite density unlike the probe brane embedding approach. Another issue we discuss here is the question whether there is any chemical potential dependence in the confining phase. We consider this problem in the hard wall model with baryon charge. We conclude that there is a non-trivial dependence on the chemical potential in this case also.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We consider the gravity back reaction on the metric due to the baryon density in effective ads/qcd model by reconsidering the role of the charged AdS black hole.	contribution 0.98	0.85	0.07	asserted 0.83
s1	Previously it has been known that the U(1) charge is dual to the R-charge.	background 1.00	0.03	0.02	asserted 1.00
s2	Here we point out that if we consider the case where $AdS_5$ is completely filled with $N_f$ flavor branes, the gravity back reaction produces charged AdS black hole where the effect of charge on the metric is proportional to $N_f/N_c$.	result 0.82	0.89	0.29	asserted 0.98
s3	As a consequence, phase diagram changes qualitatively if we allow $N_f/N_c$ finite: it closes at the finite density unlike the probe brane embedding approach.	result 0.71	0.86	0.44	asserted 1.00
s4	Another issue we discuss here is the question whether there is any chemical potential dependence in the confining phase.	gap 0.60	0.29	0.03	unclear 0.88
s5	We consider this problem in the hard wall model with baryon charge.	method 0.93	0.81	0.02	asserted 0.68
s6	We conclude that there is a non-trivial dependence on the chemical potential in this case also.	result 1.00	0.93	0.25	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.92.

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The paper

Original abstract

We consider the gravity back reaction on the metric due to the baryon density in effective ads/qcd model by reconsidering the role of the charged AdS black hole. Previously it has been known that the U(1) charge is dual to the R-charge. Here we point out that if we consider the case where $AdS_5$ is completely filled with $N_f$ flavor branes, the gravity back reaction produces charged AdS black hole where the effect of charge on the metric is proportional to $N_f/N_c$. As a consequence, phase diagram changes qualitatively if we allow $N_f/N_c$ finite: it closes at the finite density unlike the probe brane embedding approach. Another issue we discuss here is the question whether there is any chemical potential dependence in the confining phase. We consider this problem in the hard wall model with baryon charge. We conclude that there is a non-trivial dependence on the chemical potential in this case also.

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References

Forward citations

Cited by 6 Pith papers

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

Superconductivity from D3/D7: Holographic Pion Superfluid
hep-th 2008-10 conditional novelty 6.0 of 10

Probe D7-branes in AdS5 at finite isospin chemical potential condense a charged worldvolume gauge field below mu = 4 (units T = 1/pi), giving a holographic superfluid whose transition becomes first order above a criti...
Cold Nuclear Matter In Holographic QCD
hep-th 2007-08 conditional novelty 6.0 of 10

In the Sakai-Sugimoto model, finite baryon density cannot be spatially homogeneous, so nuclear matter stays lumpy at all densities, and the transition to it sits near the baryon mass with a small binding energy.
Holographic Nuclear Physics
hep-th 2007-08 accept novelty 6.0 of 10

In the Sakai-Sugimoto holographic model, baryons built from wrapped 4-branes always beat string-like quark matter, and the finite-density phase diagram keeps chiral symmetry broken at low temperature.
A Dual Geometry of the Hadron in Dense Matter
hep-th 2009-05 conditional novelty 5.0 of 10

A charged, horizonless AdS geometry with an infrared hard wall is proposed as the dual of the hadronic phase, yielding a closed confinement/deconfinement phase diagram and a rho meson mass that decreases with quark ch...
Viscosity Bound, Causality Violation and Instability with Stringy Correction and Charge
hep-th 2008-08 conditional novelty 5.0 of 10

Charged Gauss-Bonnet black branes in AdS5 have eta/s = (1 - 4 lambda (1 - a/2))/(4 pi), and for large momentum a negative graviton speed squared near the horizon signals an instability unless lambda is at most 1/24.

Show 1 more citing papers

Unquenched flavor in the gauge/gravity correspondence
hep-th 2010-02 conditional novelty 4.0 of 10

Smeared flavor D-branes can be backreacted onto type II supergravity backgrounds, yielding tractable duals of gauge theories with dynamical fundamentals, at the price of a small flavor-loop expansion parameter.

How the literature uses it

29 arXiv papers cite this in 60 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 41 sentences without a confident label

Uses its method or tool 1 paper

The regulated Gibbs energy $Ω=ΔS/β$ follows from ([ref]) by inserting the RN-AdS charged black hole ([ref]-[ref]) and subtracting the empty thermal AdS contribution [ref] .

Holographic dual of Cold Trapped Fermions · Holographic Model · 0.80

Uses its data or values 1 paper

where the gauge coupling constant $e$ is given by [ref]

Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole · Reissner-Nordström-AdS background · 0.90

Compares with it 2 papers

We may fix them by comparing the asymptotic form of [ref], close to the boundary $z→0$, with the corresponding Reissner-Nordström AdS (RNAdS) solution, which takes the form $A_0=μ-Qz^2+⋯$ [ref] ).

Phase diagram and compact stars in a holographic QCD model · The holographic model · 0.80
In contrast, the RN-AdS black hole at zero temperature [ref] , dominates the action for all chemical potentials down to $μ=0$.

Improved AdS/QCD Model with Matter · Thermodynamics · 0.94

Cites it as support 1 paper

In fact, in the previous work [ref] , it was suggested that if one considers bulk filling branes, one can easily account the full back reaction and the phase diagram actually closes.

A Dual Geometry of the Hadron in Dense Matter · Introduction · 0.96

Cites it as background 13 papers

Finite baryon density in the Sakai-Sugimoto model has been studied in [ref] .

Holographic Nuclear Physics · Introduction · 0.95
The Hawking-Page transition between the geometries, and the meson spectra and the binding energy of heavy quarkonium on the tcAdS are discussed in [ref] .

Holographic Meson Spectra in the Dense Medium with Chiral Condensate · Introduction · 0.82
The thermodynamics [ref] and transport [ref] in the RN-AdS have been analyzed with a particular emphasis on density corrections to the high temperature limit [ref] .

Holographic dual of Cold Trapped Fermions · Holographic Model · 0.98

What it cites · 25 sentences without a confident label

Uses the method or tool of 1 paper

We need to add a boundary term [ref] to guarantee the equation of motion with the fixed charge.

Duality between Electric and Magnetic Black Holes · Fixed charge · 0.83

Compares with 4 papers

Notice that the phase diagram closes at finite density unlike the case without gravity back reaction [ref] , where phase diagram is open.

Holographic chiral phase transition with chemical potential · Fixed charge · 0.99
Notice that the phase diagram closes at finite density unlike the case without gravity back reaction [ref] , where phase diagram is open.

Deconfinement phase transition in holographic QCD with matter · Fixed charge · 0.99
[ref] , where the authors used extremal charged black hole as a background to subtract, making some difference with the result here.

Charged AdS Black Holes and Catastrophic Holography · Fixed charge · 1.00

Cites as background 20 papers

In [ref] , it was suggested that one can use equation of motion of DBI action to determine the electric potential.

Holographic chiral phase transition with chemical potential · Introduction · 0.88
Previously this background has been studied [ref] and its local $U(1)$ charge is identified as dual to the R-charge.

Charged AdS Black Holes and Catastrophic Holography · Introduction · 0.94
Especially interesting is to investigate the baryon density effect [ref] on the phases of the Yang-Mill theory.

Baryon Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD · Introduction · 0.90

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