The timbre of Hawking gravitons: an effective description of energy transport from holography
Abstract Planar black holes in AdS, which are holographically dual to compressible relativistic fluids, have a long-lived phonon mode that captures the physics of attenuated sound propagation and transports energy in the plasma. We describe the open effective field theory of this fluctuating phonon...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP09(2022)092 |
| _version_ | 1828148150810968064 |
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| author | Temple He R. Loganayagam Mukund Rangamani Akhil Sivakumar Julio Virrueta |
| author_facet | Temple He R. Loganayagam Mukund Rangamani Akhil Sivakumar Julio Virrueta |
| author_sort | Temple He |
| collection | DOAJ |
| description | Abstract Planar black holes in AdS, which are holographically dual to compressible relativistic fluids, have a long-lived phonon mode that captures the physics of attenuated sound propagation and transports energy in the plasma. We describe the open effective field theory of this fluctuating phonon degree of freedom. The dynamics of the phonon is encoded in a single scalar field whose gravitational coupling has non-trivial spatial momentum dependence. This description fits neatly into the paradigm of classifying gravitational modes by their Markovianity index, depending on whether they are long-lived. The sound scalar is a non-Markovian field with index 3 − d for a d-dimensional fluid. We reproduce (and extend) the dispersion relation of the holographic sound mode to quartic order in derivatives, constructing in the process the effective field theory governing its attenuated dynamics and associated stochastic fluctuations. We also remark on the presence of additional spatially homogeneous zero modes in the gravitational problem, which remain disconnected from the phonon Goldstone mode. |
| first_indexed | 2024-04-11T21:11:50Z |
| format | Article |
| id | doaj.art-4c9f893b53c24a94bf495cd2f44d5690 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T21:11:50Z |
| publishDate | 2022-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-4c9f893b53c24a94bf495cd2f44d56902022-12-22T04:02:59ZengSpringerOpenJournal of High Energy Physics1029-84792022-09-012022916210.1007/JHEP09(2022)092The timbre of Hawking gravitons: an effective description of energy transport from holographyTemple He0R. Loganayagam1Mukund Rangamani2Akhil Sivakumar3Julio Virrueta4Center for Quantum Mathematics and Physics (QMAP), Department of Physics & Astronomy, University of CaliforniaInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchCenter for Quantum Mathematics and Physics (QMAP), Department of Physics & Astronomy, University of CaliforniaInternational Centre for Theoretical Sciences (ICTS-TIFR), Tata Institute of Fundamental ResearchCenter for Quantum Mathematics and Physics (QMAP), Department of Physics & Astronomy, University of CaliforniaAbstract Planar black holes in AdS, which are holographically dual to compressible relativistic fluids, have a long-lived phonon mode that captures the physics of attenuated sound propagation and transports energy in the plasma. We describe the open effective field theory of this fluctuating phonon degree of freedom. The dynamics of the phonon is encoded in a single scalar field whose gravitational coupling has non-trivial spatial momentum dependence. This description fits neatly into the paradigm of classifying gravitational modes by their Markovianity index, depending on whether they are long-lived. The sound scalar is a non-Markovian field with index 3 − d for a d-dimensional fluid. We reproduce (and extend) the dispersion relation of the holographic sound mode to quartic order in derivatives, constructing in the process the effective field theory governing its attenuated dynamics and associated stochastic fluctuations. We also remark on the presence of additional spatially homogeneous zero modes in the gravitational problem, which remain disconnected from the phonon Goldstone mode.https://doi.org/10.1007/JHEP09(2022)092AdS-CFT CorrespondenceHolography and HydrodynamicsNon-Equilibrium Field TheoryThermal Field Theory |
| spellingShingle | Temple He R. Loganayagam Mukund Rangamani Akhil Sivakumar Julio Virrueta The timbre of Hawking gravitons: an effective description of energy transport from holography Journal of High Energy Physics AdS-CFT Correspondence Holography and Hydrodynamics Non-Equilibrium Field Theory Thermal Field Theory |
| title | The timbre of Hawking gravitons: an effective description of energy transport from holography |
| title_full | The timbre of Hawking gravitons: an effective description of energy transport from holography |
| title_fullStr | The timbre of Hawking gravitons: an effective description of energy transport from holography |
| title_full_unstemmed | The timbre of Hawking gravitons: an effective description of energy transport from holography |
| title_short | The timbre of Hawking gravitons: an effective description of energy transport from holography |
| title_sort | timbre of hawking gravitons an effective description of energy transport from holography |
| topic | AdS-CFT Correspondence Holography and Hydrodynamics Non-Equilibrium Field Theory Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP09(2022)092 |
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