AdS / CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM

By Alvaro Núñez, A. Starinets. 2003

192 citations recorded by the source corpus.

We use the Lorentzian AdS/CFT prescription to find the poles of the retarded thermal Green’s functions of N=4 SU(N) supersymmetric Yang-Mills theory in the limit of large N and large ’t Hooft coupling. In the process, we propose a natural definition for quasinormal modes in an asymptotically AdS spacetime, with boundary conditions dictated by the AdS/CFT correspondence. The corresponding frequencies determine the dispersion laws for the quasiparticle excitations in the dual finite-temperature gauge theory. Correlation functions of operators dual to massive scalar, vector and gravitational perturbations in a five-dimensional AdS-Schwarzschild background are considered. We find asymptotic formulas for quasinormal frequencies in the massive scalar and tensor cases, and an exact expression for vector perturbations. In the long-distance, low-frequency limit we recover results of the hydrodynamic approximation to thermal Yang-Mills theory.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/0ffbd8e0a81694dca96538c4c28f0a4ed42919aa

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

1. R. Myers
2. V. Hubeny
3. M. Rangamani
4. A. Starinets
5. Alex Buchel
6. P. Kovtun
7. D. Son
8. S. Sachdev

In Nuclear and High Energy Physics

1. R. Myers
2. V. Hubeny
3. M. Rangamani
4. A. Starinets
5. Alex Buchel
6. S. Hartnoll
7. P. Kovtun
8. S. Sachdev

In Statistical and Nonlinear Physics

1. V. Hubeny
2. R. Myers
3. Alex Buchel
4. M. Rangamani
5. P. Kovtun
6. A. Starinets
7. S. Hartnoll
8. S. Shenker

Citations in the corpus

• The black hole singularity in AdS/CFT (2003, methodology): “The results in [50] were obtained by a direct study of the radial equation for the AdS Schwarzschild geometry, the Heun differential equation.”
• Holography and hydrodynamics: Diffusion on stretched horizons (2003, background): “It is encoded in the low-frequency part of the spectrum of quasinormal modes for a given gravitational background (see [25] for a discussion of quasinormal modes in this context).”
• Excursions beyond the horizon: Black hole singularities in Yang-Mills theories. I. (2005, unknown): “obtained in [ 32 ] shows that it appears to work well even for n small.”
• Quasinormal modes and holography (2005, methodology): “Real-time thermal correlators of the conserved R-symmetry currents and stress-energy tensor in this theory were considered in the AdS/CFT approach in [11, 15, 16].”
• Coupling constant dependence of the shear viscosity in N=4 supersymmetric Yang–Mills theory (2004, background): “The corresponding link is not firmly established at the moment, see [26], [27].”
• Holographic spectral functions and diffusion constants for fundamental matter (2007, methodology): “3 A simple example: spectral function of R currents in N = 4 SYM Correlators of R-currents in strongly coupled N = 4 SU(Nc) supersymetric Yang-Mills (SYM) theory at large Nc were previously studied by means of the AdS/CFT correspondence both at zero [31, 32] and finite temperature [16, 33, 29, 30, 1”