Spectral probes of the holographic Fermi ground state: Dialing between the electron star and AdS Dirac hair

Journal Article · Sat Oct 15 00:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.84.086002· OSTI ID:21611516

Cubrovic, Mihailo; Yan, Liu; Schalm, Koenraad; Yawen, Sun; Zaanen, Jan ^[1]

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1. Institute Lorentz for Theoretical Physics, Leiden University, P.O. Box 9506, Leiden 2300RA (Netherlands)

We argue that the electron star and the anti-de Sitter (AdS) Dirac hair solution are two limits of the free charged Fermi gas in AdS. Spectral functions of holographic duals to probe fermions in the background of electron stars have a free parameter that quantifies the number of constituent fermions that make up the charge and energy density characterizing the electron star solution. The strict electron star limit takes this number to be infinite. The Dirac hair solution is the limit where this number is unity. This is evident in the behavior of the distribution of holographically dual Fermi surfaces. As we decrease the number of constituents in a fixed electron star background the number of Fermi surfaces also decreases. An improved holographic Fermi ground state should be a configuration that shares the qualitative properties of both limits.

• OSTI ID: 21611516
• Journal Information: Physical Review. D, Particles Fields, Vol. 84, Issue 8; Other Information: DOI: 10.1103/PhysRevD.84.086002; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANTI DE SITTER SPACE
CONFIGURATION
DISTRIBUTION
ELECTRONS
ENERGY DENSITY
FERMI GAS
FERMI LEVEL
GROUND STATES
HOLOGRAPHY
MATHEMATICAL SOLUTIONS
SIMULATION
SPECTRAL FUNCTIONS
STARS
ELEMENTARY PARTICLES
ENERGY LEVELS
FERMIONS
FUNCTIONS
LEPTONS
MATHEMATICAL SPACE
SPACE