Sound waves in the compactified D0-D4 brane system

Abstract

As an extension to our previous work, we study the transport properties of the Witten-Sakai-Sugimoto model in the black D4-brane background with smeared D0-branes (D0-D4/D8 system). Because of the presence of the D0-branes, in the bubble configuration this model is holographically dual to 4d QCD or Yang-Mills theory with a Chern-Simons term. And the number density of the D0-branes corresponds to the coupling constant ($\theta$ angle) of the Chern-Simons term in the dual field theory. In this paper, we accordingly focus on small number density of the D0-branes to study the sound mode in the black D0-D4 brane system since the coupling of the Chern-Simons term should be quite weak in QCD. Then we derive its 5d effective theory and analytically compute the speed of sound and the sound wave attenuation in the approach of Gauge/Gravity duality. Our result shows the speed of sound and the sound wave attenuation is modified by the presence of the D0-branes. Thus they depend on the $\theta$ angle or chiral potential in this holographic description.

17 pages

References in corpus (36)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Large N Field Theories, String Theory and Gravity
• Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
• Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
• Low energy hadron physics in holographic QCD
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Hydrodynamics with Triangle Anomalies
• From AdS/CFT correspondence to hydrodynamics
• Chiral Magnetic and Vortical Effects in High-Energy Nuclear Collisions --- A Status Report
• More on a holographic dual of QCD
• The Effect of Shear Viscosity on Spectra, Elliptic Flow, and HBT Radii
• Quasinormal modes and holography
• Holography and hydrodynamics: diffusion on stretched horizons
• Universality of the shear viscosity in supergravity
• Why does the Quark-Gluon Plasma at RHIC behave as a nearly ideal fluid ?
• Saturation of Elliptic Flow and the Transport Opacity of the Gluon Plasma at RHIC
• On universality of stress-energy tensor correlation functions in supergravity
• Sound waves in strongly coupled non-conformal gauge theory plasma
• Transport properties of cascading gauge theories
• Holographic renormalization of cascading gauge theories
• From holography towards real-world nuclear matter
• Hydrodynamics of Sakai-Sugimoto model in the quenched approximation
• Gregory-Laflamme as the confinement/deconfinement transition in holographic QCD
• Holographic QCD with Dynamical Flavors
• Notes on Theta Dependence in Holographic Yang-Mills
• Dynamically flavored description of holographic QCD in the presence of a magnetic field
• Fluid/gravity correspondence: Second order transport coefficients in compactified D4-branes
• Aspects of Instanton Dynamics in AdS/CFT Duality
• Matrix model and Holographic Baryons in the D0-D4 background
• What is the gravity dual of the confinement/deconfinement transition in holographic QCD?
• Baryons in the Sakai-Sugimoto model in the D0-D4 background
• Chiral vortical effect from the compactified D4-branes with smeared D0-brane charge
• Chiral Magnetic Effect in Heavy Ion Collisions
• D0-D4 system and QCD_{3+1}
• Three-body force for baryons from the D0-D4/D8 matrix model
• Fluid/gravity correspondence: A nonconformal realization in compactified D4 branes

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• The D4/D8 model and holographic QCD
• Electromagnetic instability and Schwinger effect in the Witten-Sakai-Sugimoto model with D0-D4 background
• Holographic three flavor baryon in the Witten-Sakai-Sugimoto model with the D0-D4 background
• Sound modes and stability of momentum dissipated black branes in holography