Universal Behaviors of Speed of Sound from Holography

Abstract

We investigate the speed of sound in $(d+1)$-dimensional field theory by studying its dual $(d+2)$-dimensional gravity theory from gauge/gravity correspondence. Instead of the well known conformal limit $c_s^2\to 1/d$ at high temperature, we reveal two more universal quantities in various limits: $c_s^2\to (d-1)/16\pi$ at low temperature and $c_s^2\to (d-1)/16\pi d$ at large chemical potential.

5 pages, 2 figures

References in corpus (10)

• The QCD equation of state with dynamical quarks
• Zero Sound from Holography
• A bound on the speed of sound from holography
• Breaking the sound barrier in AdS/CFT
• Hydrodynamics of Sakai-Sugimoto model in the quenched approximation
• Holography and the speed of sound at high temperatures
• Comments on Fermi Liquid from Holography
• Approaching Confinement Structure for Light Quarks in a Holographic Soft Wall QCD Model
• Universal Formula for the Holographic Speed of Sound
• Universal relations of transport coefficients from holography

Cited by in corpus (11)

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• Holographic Anisotropic Model for Heavy Quarks in Anisotropic Hot Dense QGP with External Magnetic Field
• Universal Bounds on Transport in Holographic Systems with Broken Translations
• Criticality from Einstein-Maxwell-dilaton holography at finite temperature and density
• Analytic Study of Magnetic Catalysis in Holographic QCD
• Analytic Study on Chiral Phase Transition in Holographic QCD
• Aspects of univalence in holographic axion models
• QCD Phase Diagram by Holography
• Energy Loss in Holographic Anisotropic Model for Heavy Quarks in External Magnetic Field
• Imprints of Early Universe on Gravitational Waves from First-Order Phase Transition in QCD
• Speed of sound, breaking of conformal limit and instabilities in quark-gluon plasma at finite baryon density