Holographic zero sound at finite temperature
We use gauge-gravity duality to study the temperature dependence of the zero sound mode and the fundamental matter diffusion mode in the strongly coupled {\cal N}=4 SU(N_c) supersymmetric Yang-Mills theory with N_f {\cal N}=2 hypermultiplets in the N_c>>1, N_c>>N_f limit,...
| Main Authors: | , |
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| Format: | Journal article |
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2011
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| _version_ | 1797056313278070784 |
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| author | Davison, R Starinets, A |
| author_facet | Davison, R Starinets, A |
| author_sort | Davison, R |
| collection | OXFORD |
| description | We use gauge-gravity duality to study the temperature dependence of the zero sound mode and the fundamental matter diffusion mode in the strongly coupled {\cal N}=4 SU(N_c) supersymmetric Yang-Mills theory with N_f {\cal N}=2 hypermultiplets in the N_c>>1, N_c>>N_f limit, which is holographically realized via the D3/D7 brane system. In the high density limit \mu>>T, three regimes can be identified in the behavior of these modes, analogous to the collisionless quantum, collisionless thermal and hydrodynamic regimes of a Landau Fermi-liquid. The transitions between the three regimes are characterized by the parameters T/\mu and (T/\mu)^2 respectively, and in each of these regimes the modes have a distinctively different temperature and momentum dependence. The collisionless-hydrodynamic transition occurs when the zero sound poles of the density-density correlator in the complex frequency plane collide on the imaginary axis to produce a hydrodynamic diffusion pole. We observe that the properties characteristic of a Landau Fermi-liquid zero sound mode are present in the D3/D7 system despite the atypical T^6/\mu^3 temperature scaling of the specific heat and an apparent lack of a directly identifiable Fermi surface. |
| first_indexed | 2024-03-06T19:21:37Z |
| format | Journal article |
| id | oxford-uuid:1a4b97e2-958d-4483-a454-e3d8174c9066 |
| institution | University of Oxford |
| last_indexed | 2024-03-06T19:21:37Z |
| publishDate | 2011 |
| record_format | dspace |
| spelling | oxford-uuid:1a4b97e2-958d-4483-a454-e3d8174c90662022-03-26T10:53:58ZHolographic zero sound at finite temperatureJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:1a4b97e2-958d-4483-a454-e3d8174c9066Symplectic Elements at Oxford2011Davison, RStarinets, AWe use gauge-gravity duality to study the temperature dependence of the zero sound mode and the fundamental matter diffusion mode in the strongly coupled {\cal N}=4 SU(N_c) supersymmetric Yang-Mills theory with N_f {\cal N}=2 hypermultiplets in the N_c>>1, N_c>>N_f limit, which is holographically realized via the D3/D7 brane system. In the high density limit \mu>>T, three regimes can be identified in the behavior of these modes, analogous to the collisionless quantum, collisionless thermal and hydrodynamic regimes of a Landau Fermi-liquid. The transitions between the three regimes are characterized by the parameters T/\mu and (T/\mu)^2 respectively, and in each of these regimes the modes have a distinctively different temperature and momentum dependence. The collisionless-hydrodynamic transition occurs when the zero sound poles of the density-density correlator in the complex frequency plane collide on the imaginary axis to produce a hydrodynamic diffusion pole. We observe that the properties characteristic of a Landau Fermi-liquid zero sound mode are present in the D3/D7 system despite the atypical T^6/\mu^3 temperature scaling of the specific heat and an apparent lack of a directly identifiable Fermi surface. |
| spellingShingle | Davison, R Starinets, A Holographic zero sound at finite temperature |
| title | Holographic zero sound at finite temperature |
| title_full | Holographic zero sound at finite temperature |
| title_fullStr | Holographic zero sound at finite temperature |
| title_full_unstemmed | Holographic zero sound at finite temperature |
| title_short | Holographic zero sound at finite temperature |
| title_sort | holographic zero sound at finite temperature |
| work_keys_str_mv | AT davisonr holographiczerosoundatfinitetemperature AT starinetsa holographiczerosoundatfinitetemperature |