Zero sound from holography
Zero sound from holography
Quantum liquids are characterized by the distinctive properties such as the low temperature behavior of heat capacity and the spectrum of low-energy quasiparticle excitations. In particular, at low temperature, Fermi liquids exhibit the zero sound, predicted by L. D. Landau in 1957 and subsequently observed in liquid He-3. In this paper, we ask a question whether such a characteristic behavior is present in theories with holographically dual description. We consider a class of gauge theories with fundamental matter fields whose holographic dual in the appropriate limit is given in terms of the Dirac-Born-Infeld action in AdS_{p+1} space. An example of such a system is the N=4 SU(N_c) supersymmetric Yang-Mills theory with N_f massless N=2 hypermultiplets at strong coupling, finite baryon number density, and low temperature. We find that these systems exhibit a zero sound mode despite having a non-Fermi liquid type behavior of the specific heat. These properties suggest that holography identifies a new type of quantum liquids.
1-10
Karch, A.
c837fe48-c483-47fe-9f92-e09c17ba7325
Son, D.T.
ed0be92f-7091-46f3-b475-9b907022dc11
Starinets, A.O.
c38a7047-d3e8-46f0-877e-a7a23534a246
Karch, A.
c837fe48-c483-47fe-9f92-e09c17ba7325
Son, D.T.
ed0be92f-7091-46f3-b475-9b907022dc11
Starinets, A.O.
c38a7047-d3e8-46f0-877e-a7a23534a246
Abstract
Quantum liquids are characterized by the distinctive properties such as the low temperature behavior of heat capacity and the spectrum of low-energy quasiparticle excitations. In particular, at low temperature, Fermi liquids exhibit the zero sound, predicted by L. D. Landau in 1957 and subsequently observed in liquid He-3. In this paper, we ask a question whether such a characteristic behavior is present in theories with holographically dual description. We consider a class of gauge theories with fundamental matter fields whose holographic dual in the appropriate limit is given in terms of the Dirac-Born-Infeld action in AdS_{p+1} space. An example of such a system is the N=4 SU(N_c) supersymmetric Yang-Mills theory with N_f massless N=2 hypermultiplets at strong coupling, finite baryon number density, and low temperature. We find that these systems exhibit a zero sound mode despite having a non-Fermi liquid type behavior of the specific heat. These properties suggest that holography identifies a new type of quantum liquids.
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Submitted date: 24 June 2008
Additional Information:
arXiv:0806.3796
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Local EPrints ID: 64271
URI: http://eprints.soton.ac.uk/id/eprint/64271
PURE UUID: ec6a21f0-8f21-403e-98d5-3c515e0a17a2
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Date deposited: 13 Jan 2009
Last modified: 15 Mar 2024 11:47
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Author:
A. Karch
Author:
D.T. Son
Author:
A.O. Starinets
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