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Shear Modes, Criticality and Extremal Black Holes

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arxiv 1001.0779 v2 pith:Q3RC77ZU submitted 2010-01-06 hep-th

Mohammad Edalati , Juan I. Jottar , Robert G. Leigh This is my paper · ORCID
classification hep-th
keywords correlatorsfrequencyblackextremalpolescorrespondingfinitehole
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider a (2+1)-dimensional field theory, assumed to be holographically dual to the extremal Reissner-Nordstrom AdS(4) black hole background, and calculate the retarded correlators of charge (vector) current and energy-momentum (tensor) operators at finite momentum and frequency. We show that, similar to what was observed previously for the correlators of scalar and spinor operators, these correlators exhibit emergent scaling behavior at low frequency. We numerically compute the electromagnetic and gravitational quasinormal frequencies (in the shear channel) of the extremal Reissner-Nordstrom AdS(4) black hole corresponding to the spectrum of poles in the retarded correlators. The picture that emerges is quite simple: there is a branch cut along the negative imaginary frequency axis, and a series of isolated poles corresponding to damped excitations. All of these poles are always in the lower half complex frequency plane, indicating stability. We show that this analytic structure can be understood as the proper limit of finite temperature results as T is taken to zero holding the chemical potential fixed.

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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

    hep-th 2025-12 conditional novelty 7.0 of 10

    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

    hep-th 2024-12 conditional novelty 7.0 of 10

    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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