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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer-Verlag

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10.1007/12_2010_71

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1029-8479

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Fluctuations in finite density holographic quantum

Authors: Mikhail Goykhman Andrei Parnachev Jan Zaanen
Publish Date: 2012/10/05
Volume: 2012, Issue: 10, Pages: 45-
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Abstract

We study correlators of the global U1 currents in holographic models which involve mathcalN=4 SYM coupled to the finite density matter in the probe brane sector We find the spectral density associated with the longitudinal response to be exhausted by the zero sound pole and argue that this could be consistent with the behavior of Fermi liquid with vanishing Fermi velocity However the transversal response shows an unusual momentum independent behavior Inclusion of magnetic field leads to a gap in the dispersion relation for the zero sound mode propagating in the plane of magnetic field For small values of the magnetic field B the gap in the spectrum scales linearly with B which is consistent with Kohn’s theorem for nonrelativistic fermions with pairwise interaction We do not find sig natures of multiple Landau levels expected in Landau Fermi liquid theory We also consider the influence of generic higher derivative corrections on the form of the spectral function

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