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

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 $Ad{S}_5$ 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.

17 pages 3x2 figures, v2: references added;v3 published version, title change and reference added

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Cited by in corpus (15)

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• Hydrodynamics with conserved current from the gravity dual
• Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole
• Phase diagram and compact stars in a holographic QCD model
• Gravitational waves from holographic QCD phase transition with gluon condensate
• Unquenched flavor in the gauge/gravity correspondence
• Rotation effect on the deconfinement phase transition in holographic QCD
• Inverse magnetic catalysis and energy loss in holographic QCD model
• Holographic zero sound at finite temperature in the Sakai-Sugimoto model
• Holographic 1/Nc correction from the chiral condensate
• Thermodynamics and energy loss in D dimensions from holographic QCD model
• Rotation effect on the spectral function of heavy vector mesons in holographic QCD
• Chiral Condensation and Chiral Phase Diagram under Combined Rotation and Chemical Potential in Holographic QCD