TY - JOUR

T1 - Shear modes, criticality and extremal black holes

AU - Edalati, Mohammad

AU - Jottar, Juan I.

AU - Leigh, Robert G.

N1 - Copyright:
Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2010

Y1 - 2010

N2 - We consider a (2+1)-dimensional field theory, assumed to be holographically dual to the extremal Reissner-Nordström AdS4 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-Nordström AdS4 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 μ fixed.

AB - We consider a (2+1)-dimensional field theory, assumed to be holographically dual to the extremal Reissner-Nordström AdS4 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-Nordström AdS4 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 μ fixed.

KW - AdS-CFT correspondence

KW - Black holes in string theory

KW - Gauge-gravity correspondence

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U2 - 10.1007/JHEP04(2010)075

DO - 10.1007/JHEP04(2010)075

M3 - Article

AN - SCOPUS:77954890669

VL - 2010

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 4

M1 - 75

ER -