Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma.
Using the anti-de Sitter/conformal field theory correspondence, we relate the shear viscosity eta of the finite-temperature N = 4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of low-energy gravitons by a near-extremal black three-brane. We...
| Main Authors: | , , |
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| Format: | Journal article |
| Language: | English |
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2001
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| _version_ | 1797075151353806848 |
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| author | Policastro, G Son, D Starinets, A |
| author_facet | Policastro, G Son, D Starinets, A |
| author_sort | Policastro, G |
| collection | OXFORD |
| description | Using the anti-de Sitter/conformal field theory correspondence, we relate the shear viscosity eta of the finite-temperature N = 4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of low-energy gravitons by a near-extremal black three-brane. We show that in the limit of zero frequency this cross section coincides with the area of the horizon. From this result we find eta = pi / 8N(2)T3. We conjecture that for finite 't Hooft coupling g(2)(YM)N the shear viscosity is eta = f(g(2)(YM)N)N2T3, where f(x) is a monotonic function that decreases from O(x(-2)ln(-1)(1/x)) at small x to pi/8 when x-->infinity. |
| first_indexed | 2024-03-06T23:46:17Z |
| format | Journal article |
| id | oxford-uuid:7102ed1c-a50d-4d0e-af8f-c59ddeb06a4c |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:46:17Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:7102ed1c-a50d-4d0e-af8f-c59ddeb06a4c2022-03-26T19:40:58ZShear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:7102ed1c-a50d-4d0e-af8f-c59ddeb06a4cEnglishSymplectic Elements at Oxford2001Policastro, GSon, DStarinets, AUsing the anti-de Sitter/conformal field theory correspondence, we relate the shear viscosity eta of the finite-temperature N = 4 supersymmetric Yang-Mills theory in the large N, strong-coupling regime with the absorption cross section of low-energy gravitons by a near-extremal black three-brane. We show that in the limit of zero frequency this cross section coincides with the area of the horizon. From this result we find eta = pi / 8N(2)T3. We conjecture that for finite 't Hooft coupling g(2)(YM)N the shear viscosity is eta = f(g(2)(YM)N)N2T3, where f(x) is a monotonic function that decreases from O(x(-2)ln(-1)(1/x)) at small x to pi/8 when x-->infinity. |
| spellingShingle | Policastro, G Son, D Starinets, A Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma. |
| title | Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma. |
| title_full | Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma. |
| title_fullStr | Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma. |
| title_full_unstemmed | Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma. |
| title_short | Shear viscosity of strongly coupled N = 4 supersymmetric Yang-Mills plasma. |
| title_sort | shear viscosity of strongly coupled n 4 supersymmetric yang mills plasma |
| work_keys_str_mv | AT policastrog shearviscosityofstronglycoupledn4supersymmetricyangmillsplasma AT sond shearviscosityofstronglycoupledn4supersymmetricyangmillsplasma AT starinetsa shearviscosityofstronglycoupledn4supersymmetricyangmillsplasma |