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Holography and the sound of criticality

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arxiv 1005.4075 v2 pith:4AYMWMYL submitted 2010-05-21 hep-th cond-mat.other

Mohammad Edalati , Juan I. Jottar , Robert G. Leigh This is my paper · ORCID
classification hep-thcond-mat.other
keywords sounddiscusstemperaturezeroblackcorrelatorscriticalityfield
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

Using gauge/gravity duality techniques, we discuss the sound-channel retarded correlators of vector and tensor conserved currents in a class of $(2+1)$-dimensional strongly-coupled field theories at zero temperature and finite charge density, assumed to be holographically dual to the extremal Reissner-Nordstr\"{o}m AdS$_4$ black hole. Using a combination of analytical and numerical methods, we determine the quasinormal mode spectrum at finite momentum for the coupled gravitational and electromagnetic perturbations, and discuss the appropriate choice of gauge-invariant variables (master fields) in order for the black hole quasinormal frequencies to reproduce the field theory spectrum. We discuss the role of the near horizon AdS$_{2}$ geometry in determining the low-frequency behavior of retarded correlators in the boundary theory, and comment on the emergence of criticality in the IR. In addition, we establish the existence of a sound mode at zero temperature and compute the speed of sound and sound attenuation constant numerically, obtaining a result consistent with the expectations from the zero temperature limit of hydrodynamics. The dispersion relation of higher resonances is also investigated.

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Cited by 4 Pith papers

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  1. Schwarzian quantum corrections to shear correlators of the near-extremal Reissner-Nordstr\"om-AdS black hole

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    Schwarzian quantum fluctuations raise the shear viscosity of near-extremal Reissner-Nordström-AdS4 black holes above s/4π by a positive O(1/(CT)^2) correction and are argued to lift the classical T=0 gapless shear mode.

  2. Exact low-temperature Green's functions in AdS/CFT: From Heun to confluent Heun

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    An analytic low-temperature expression for the retarded Green's function of a charged scalar in the RN-AdS5 black brane is derived from the Heun connection problem, with QNM and superconductor applications verified nu...

  3. Flavour current correlators and the non-Abelian hydrodynamic approximation: the charged sector

    hep-th 2026-07 conditional novelty 6.0 of 10

    Isospin-imbalanced strongly coupled dense matter is shown, via holography, to obey non-Abelian hydrodynamic predictions for current correlators up to the chemical-potential scale, beyond the standard ω,k ≪ T regime.

  4. Conductivities and excitations of a holographic flavour brane Weyl semimetal

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    AC conductivities of the D3/D7 holographic Weyl semimetal show peaks and troughs near the WSM-insulator transition, traced to quasinormal-mode poles with small imaginary parts.

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