Dense Hadronic Matter in Holographic QCD

Abstract

We provide a method to study hadronic matter at finite density in the context of the Sakai-Sugimoto model. We introduce the baryon chemical potential through the external $U(1{)}_v$ in the induced (DBI plus CS) action on the D8-probe-brane, where baryons are skyrmions. Vector dominance is manifest at finite density. We derive the baryon density effect on the energy density, the dispersion relations of pion and vector mesons at large $N_c$. The energy density asymptotes to a constant at large density suggesting that dense matter at large $N_c$ freezes, with the pion velocity dropping to zero. Holographic dense matter enforces exactly the tenets of vector dominance, and screens efficiently vector mesons. At the freezing point the $\rho -\pi \pi$ coupling vanishes with a finite rho mass of about 20% its vacuum value.

28 pages, 13 figures, a figure added, a reference added, discussions added

References in corpus (6)

• Large N Field Theories, String Theory and Gravity
• Charged AdS Black Holes and Catastrophic Holography
• Chiral Symmetry Breaking and Pions in Non-Supersymmetric Gauge/Gravity Duals
• Hydrodynamics of R-charged black holes
• A Gravity Dual of RHIC Collisions
• Thermodynamics of R-charged Black Holes in AdS(5) From Effective Strings

Cited by in corpus (28)

• Quarkyonic Chiral Spirals
• Hadron Production in Ultra-relativistic Nuclear Collisions: Quarkyonic Matter and a Triple Point in the Phase Diagram of QCD
• Cold Nuclear Matter In Holographic QCD
• Shear viscosity, instability and the upper bound of the Gauss-Bonnet coupling constant
• The Chiral Model of Sakai-Sugimoto at Finite Baryon Density
• Shear viscosity and instability from third order Lovelock gravity
• Dense Holographic QCD in the Wigner-Seitz Approximation
• Electromagnetic Baryon Form Factors from Holographic QCD
• D3/D7 holographic Gauge theory and Chemical potential
• The dissociation of a heavy meson in the quark medium
• Non-equilibrium physics at a holographic chiral phase transition
• Dense and Hot Holographic QCD: Finite Baryonic E Field
• Adding flavour to the Polchinski-Strassler background
• Magnetic conductivity and Chern-Simons Term in Holographic Hydrodynamics of Charged AdS Black Hole
• Hydrodynamics with conserved current from the gravity dual
• Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole
• E, B, μ, T Phase Structure of the D3/D7 Holographic Dual
• Soft Wall Model in the Hadronic Medium
• Dimension Changing Phase Transitions in Instanton Crystals
• Improved AdS/QCD Model with Matter
• Nonabelian strings in a dense matter
• Holographic Meson Spectra in the Dense Medium with Chiral Condensate
• Chiral Symmetry Restoration in Holographic Noncommutative QCD
• Holographic equations of state and astrophysical compact objects
• Conserved Charge Fluctuations and Susceptibilities in Strongly Interacting Matter
• Density versus chemical potential in holographic field theories
• The spectrum of low spin mesons at finite temperature in holographic noncommutative QCD
• Triage of the Sign Problem