Baryon-charge Chemical Potential in AdS/CFT

Abstract

We present a closed framework of AdS/CFT with finite U(1)B-charge chemical potential. We show how the gauge-invariant identification of the chemical potential with the bulk gauge field emerges from the standard AdS/CFT dictionary. Physical importance and necessity of the Minkowski embeddings within the present framework is also shown numerically in the D3-D7 systems. We point out that the D3-D7 model with only the black-hole embeddings does not have the low-temperature and low-chemical-potential region in the grand-canonical ensemble, hence it is incomplete. A physical interpretation that explains these numerical results is also proposed.

Revtex4, 36 pages with 23 figures

References in corpus (3)

• Baryon Number-Induced Chern-Simons Couplings of Vector and Axial-Vector Mesons in Holographic QCD
• D3/D7 holographic Gauge theory and Chemical potential
• Comments on Chemical Potentials in AdS/CFT

Cited by in corpus (11)

• AdS/CFT with Flavour in Electric and Magnetic Kalb-Ramond Fields
• Zero Sound from Holography
• Rho meson condensation at finite isospin chemical potential in a holographic model for QCD
• The Chiral Model of Sakai-Sugimoto at Finite Baryon Density
• Holographic vector mesons from spectral functions at finite baryon or isospin density
• Dense Holographic QCD in the Wigner-Seitz Approximation
• Comments on Fermi Liquid from Holography
• Sound Modes in Holographic Hydrodynamics for Charged AdS Black Hole
• A note on conductivity and charge diffusion in holographic flavour systems
• Gravity dual of conformal matter collisions in 1+1 dimensions
• Holographic quark gluon plasma with flavor