Universal behaviors of speed of sound from holography

2017/05/22 by Yi Yang, Pei-Hung Yuan · 17 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal field theory #Conformal map #Cosmology and Gravitation Theories #Gauge (firearms) #Gauge theory #Geometry #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum gravity #Quantum mechanics #Speed of sound #hep-ph #hep-th

paper · pdf · doi:10.1103/physrevd.97.126009

published in Physical review. D/Physical review. D. 97(12) (American Physical Society) · 5 pages, 2 figures

arxiv created 2017/05/22 · openalex publication_date 2018/06/13 · arxiv updated 2018/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the speed of sound in (d+1)-dimensional quantum field theory by studying its dual (d+2)-dimensional gravity theory from gauge/gravity correspondence. Instead of the well-known conformal limit c_s²\ensuremath→1/d at high temperature, we reveal two more universal quantities in various limits: c_s²\ensuremath→(d\ensuremath-1)/16\ensuremathπ at low temperature and c_s²\ensuremath→(d\ensuremath-1)/16\ensuremathπd at large chemical potential.

Citations

• Remarks on Fermi liquid from holography
• From AdS/CFT correspondence to hydrodynamics. II. Sound waves
• Sound waves in strongly coupled non-conformal gauge theory plasma
• SOUND WAVES IN STRONGLY COUPLED NON-CONFORMAL GAUGE THEORY PLASMA
• The large N limit of superconformal field theories and supergravity

Cited by

• Holographic Anisotropic Model for Heavy Quarks in Anisotropic Hot Dense QGP with External Magnetic Field
• Analytic study on chiral phase transition in holographic QCD