Residues of Correlators in the Strongly Coupled N=4 Plasma
arXiv:0710.4458 · doi:10.1103/PhysRevD.77.065004
Abstract
Quasinormal modes of asymptotically AdS black holes can be interpreted as poles of retarded correlators in the dual gauge theory. To determine the response of the system to small external perturbations it is not enough to know the location of the poles: one also needs to know the residues. We compute them for R-charge currents and find that they are complex except for the hydrodynamic mode, whose residue is purely imaginary. For different quasinormal modes the residue grows with momentum q, whereas for the hydrodynamic mode it behaves as a damped oscillation with distinct zeroes at finite q. Similar to collective excitations at weak coupling the hydrodynamic mode decouples at short wavelengths. Knowledge of the residues allows as well to define the time scale t_H from when on the system enters the hydrodynamic regime, restricting the validity of hydrodynamic simulations to times t>t_H.
arXiv comment10 pages, 3 figures, revtex4, v2: improved exposition and figures
References in corpus (23)
- Gauge Theory Correlators from Non-Critical String Theory
- The Large N Limit of Superconformal Field Theories and Supergravity
- Viscosity in Strongly Interacting Quantum Field Theories from Black Hole Physics
- Shear viscosity of strongly coupled N=4 supersymmetric Yang-Mills plasma
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
- From AdS/CFT correspondence to hydrodynamics
- Quasinormal modes and holography
- Entropy and Temperature of Black 3-Branes
- Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
- From AdS/CFT correspondence to hydrodynamics. II. Sound waves
- Entropy of Near-Extremal Black p-branes
- Photon and dilepton production in supersymmetric Yang-Mills plasma
- Quasinormal Modes of Near Extremal Black Branes
- Results from the Relativistic Heavy Ion Collider
- AdS/CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM
- Holographic spectral functions and diffusion constants for fundamental matter
- Finite Temperature Spectral Densities of Momentum and R-Charge Correlators in Yang Mills Theory
- Thermal spectral functions of strongly coupled N=4 supersymmetric Yang-Mills theory
- Holographic vector mesons from spectral functions at finite baryon or isospin density
- Holographic Meson Melting
- AdS black holes and thermal Yang-Mills correlators
- Absorption Lengths in the Holographic Plasma
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