AdS/CFT correspondence, quasinormal modes, and thermal correlators in N = 4 supersymmetric Yang-Mills theory
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 asymptotic...
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| Format: | Journal article |
| Language: | English |
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2003
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| _version_ | 1797077286279708672 |
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| author | Núñez, A Starinets, A |
| author_facet | Núñez, A Starinets, A |
| author_sort | Núñez, A |
| collection | OXFORD |
| description | 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. |
| first_indexed | 2024-03-07T00:15:46Z |
| format | Journal article |
| id | oxford-uuid:7aca5bbe-6b06-4e7e-a75f-fd3e12c904d3 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:15:46Z |
| publishDate | 2003 |
| record_format | dspace |
| spelling | oxford-uuid:7aca5bbe-6b06-4e7e-a75f-fd3e12c904d32022-03-26T20:46:17ZAdS/CFT correspondence, quasinormal modes, and thermal correlators in N = 4 supersymmetric Yang-Mills theoryJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7aca5bbe-6b06-4e7e-a75f-fd3e12c904d3EnglishSymplectic Elements at Oxford2003Núñez, AStarinets, AWe 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. |
| spellingShingle | Núñez, A Starinets, A AdS/CFT correspondence, quasinormal modes, and thermal correlators in N = 4 supersymmetric Yang-Mills theory |
| title | AdS/CFT correspondence, quasinormal modes, and thermal correlators in N = 4 supersymmetric Yang-Mills theory |
| title_full | AdS/CFT correspondence, quasinormal modes, and thermal correlators in N = 4 supersymmetric Yang-Mills theory |
| title_fullStr | AdS/CFT correspondence, quasinormal modes, and thermal correlators in N = 4 supersymmetric Yang-Mills theory |
| title_full_unstemmed | AdS/CFT correspondence, quasinormal modes, and thermal correlators in N = 4 supersymmetric Yang-Mills theory |
| title_short | AdS/CFT correspondence, quasinormal modes, and thermal correlators in N = 4 supersymmetric Yang-Mills theory |
| title_sort | ads cft correspondence quasinormal modes and thermal correlators in n 4 supersymmetric yang mills theory |
| work_keys_str_mv | AT nuneza adscftcorrespondencequasinormalmodesandthermalcorrelatorsinn4supersymmetricyangmillstheory AT starinetsa adscftcorrespondencequasinormalmodesandthermalcorrelatorsinn4supersymmetricyangmillstheory |