Quasinormal modes and holography
By P. Kovtun, A. Starinets. 2005
655 citations recorded by the source corpus.
Quasinormal frequencies of electromagnetic and gravitational perturbations in asymptotically anti-de Sitter spacetime can be identified with poles of the corresponding real-time Green's functions in a holographically dual finite temperature field theory. The quasinormal modes are defined for gauge-invariant quantities which obey an incoming-wave boundary condition at the horizon and a Dirichlet condition at the boundary. As an application, we explicitly find poles of retarded correlation functions of R-symmetry currents and the energy-momentum tensor in strongly coupled finite temperature N=4 supersymmetric SU(Nc) Yang-Mills theory in the limit of large Nc.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/3133525c143af1cb767b5318ed79b7e05a70b5bf
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Astronomy and Astrophysics
In Nuclear and High Energy Physics
In Statistical and Nonlinear Physics
Citations in the corpus
- Holographic superconductors with various condensates (2008, background): “In AdS, these correspond to poles in the retarded Greens function [15, 17].”
- Gauge-gravity duality and thermalization of a boost-invariant perfect fluid (2006, background): “ons linearized around the background geometry. In particular the calculation of the QNM’s corresponding to a scalar excitation canonically coupled to the metric in the gravitational dual configuration [4, 5, 6, 7] may give an evaluation of the thermalization time of the dual gauge field-theoretic stro”
- Many-body chaos and energy dynamics in holography (2018, methodology): “The Green’s function GT 00T 00 can be efficiently extracted by writing the two second-order equations as a closed set of equations for two gauge-invariant variables [38].”
- First-order relativistic hydrodynamics is stable (2019, background): “The dispersion relations are such that, as k increases, Reω(k)/k approaches one from above [29, 30, 31].”
- A Holographic View on Physics out of Equilibrium (2010, background): “This was extended to higher dimensions in the seminal work of [56] and further elaborated upon in [70].”
- A hybrid strong/weak coupling approach to jet quenching (2014, neutral): “[45].”
- Wilsonian approach to fluid/gravity duality (2010, background): “For p = 3 the equations have been fully analyzed in [17].”
- Holographic Quantum Matter (2016, methodology): “It is then useful to introduce the following ‘gauge invariant’ variables [480], that are invariant under a residual gauge symmetry Aμ → Aμ + ∂μ[λ e−iωt+ikx],”
- Holographic spectral functions and diffusion constants for fundamental matter (2007, methodology): “For vanishing spatial momentum, the result reads [29, 13] Π(ω) = N2 c T 2 8 lim x̄→1 E(x̄) E(x̄) .”
- Viscosity, Black Holes, and Quantum Field Theory (2007, background): “It can be shown, however, that the quasi-normal frequencies coincide with the poles of the retarded correlators [28,29].”
- Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes (2017, methodology): “the gravity side corresponds a gauge-invariant operator on the QFT side. The quasinormal frequencies of this eld are equal to the poles in the retarded Green’s function of the operator in the dual QFT[9,12]. By summing quasinormal modes one can compute one loop determinants[20]. Out of equilibrium g”
- Nonlinear fluid dynamics from gravity (2007, neutral): “24 56 v4 [ ∗sayanta@theory.tifr.res.in †veronika.hubeny@durham.ac.uk ‡minwalla@theory.tifr.res.in §mukund.rangamani@durham.ac.uk Contents”
- Holographic operator mixing and quasinormal modes on the brane (2009, methodology): “In the framework of the AdS/CFT correspondence, the retarded correlators we are interested in, G(k), can be obtained from the perturbations of a U(1) gauge field (12)The reader will recognize here the generalization of the G ∼ B/A rule of thumb put forward in [21].”