AdS/CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM
AdS/CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM
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.
124013-[12pp]
Núñez, Alvaro
40a4dce7-432f-407b-88cc-41605210e782
Starinets, Andrei O.
4c7f2b3d-0ff6-4d26-b978-7d18571c8b17
2003
Núñez, Alvaro
40a4dce7-432f-407b-88cc-41605210e782
Starinets, Andrei O.
4c7f2b3d-0ff6-4d26-b978-7d18571c8b17
Núñez, Alvaro and Starinets, Andrei O.
(2003)
AdS/CFT correspondence, quasinormal modes, and thermal correlators in N=4 SYM.
Physical Review D, 67 (12), .
(doi:10.1103/PhysRevD.67.124013).
Abstract
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.
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Published date: 2003
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Local EPrints ID: 57523
URI: http://eprints.soton.ac.uk/id/eprint/57523
ISSN: 1550-7998
PURE UUID: f6a2ea35-934b-460a-8bf6-8f46d84e097d
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Date deposited: 14 Aug 2008
Last modified: 15 Mar 2024 11:07
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Author:
Alvaro Núñez
Author:
Andrei O. Starinets
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