The complex life of hydrodynamic modes
Abstract We study analytic properties of the dispersion relations in classical hydrody- namics by treating them as Puiseux series in complex momentum. The radii of convergence of the series are determined by the critical points of the associated complex spectral curves. For theories...
| Main Authors: | , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2021
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| Online Access: | https://hdl.handle.net/1721.1/131652 |
| _version_ | 1826208699088109568 |
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| author | Grozdanov, Sašo Kovtun, Pavel K Starinets, Andrei O Tadić, Petar |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Grozdanov, Sašo Kovtun, Pavel K Starinets, Andrei O Tadić, Petar |
| author_sort | Grozdanov, Sašo |
| collection | MIT |
| description | Abstract
We study analytic properties of the dispersion relations in classical hydrody- namics by treating them as Puiseux series in complex momentum. The radii of convergence of the series are determined by the critical points of the associated complex spectral curves. For theories that admit a dual gravitational description through holography, the critical points correspond to level-crossings in the quasinormal spectrum of the dual black hole. We illustrate these methods in N = 4 supersymmetric Yang-Mills theory in 3+1 dimensions, in a holographic model with broken translation symmetry in 2+1 dimensions, and in con- formal field theory in 1+1 dimensions. We comment on the pole-skipping phenomenon in thermal correlation functions, and show that it is not specific to energy density correlations. |
| first_indexed | 2024-09-23T14:09:55Z |
| format | Article |
| id | mit-1721.1/131652 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T14:09:55Z |
| publishDate | 2021 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1316522023-12-12T19:31:08Z The complex life of hydrodynamic modes Grozdanov, Sašo Kovtun, Pavel K Starinets, Andrei O Tadić, Petar Massachusetts Institute of Technology. Center for Theoretical Physics Abstract We study analytic properties of the dispersion relations in classical hydrody- namics by treating them as Puiseux series in complex momentum. The radii of convergence of the series are determined by the critical points of the associated complex spectral curves. For theories that admit a dual gravitational description through holography, the critical points correspond to level-crossings in the quasinormal spectrum of the dual black hole. We illustrate these methods in N = 4 supersymmetric Yang-Mills theory in 3+1 dimensions, in a holographic model with broken translation symmetry in 2+1 dimensions, and in con- formal field theory in 1+1 dimensions. We comment on the pole-skipping phenomenon in thermal correlation functions, and show that it is not specific to energy density correlations. 2021-09-20T17:29:21Z 2021-09-20T17:29:21Z 2019-11-18 2020-06-26T13:07:56Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/131652 Journal of High Energy Physics. 2019 Nov 18;2019(11):97 PUBLISHER_CC en https://doi.org/10.1007/JHEP11(2019)097 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Grozdanov, Sašo Kovtun, Pavel K Starinets, Andrei O Tadić, Petar The complex life of hydrodynamic modes |
| title | The complex life of hydrodynamic modes |
| title_full | The complex life of hydrodynamic modes |
| title_fullStr | The complex life of hydrodynamic modes |
| title_full_unstemmed | The complex life of hydrodynamic modes |
| title_short | The complex life of hydrodynamic modes |
| title_sort | complex life of hydrodynamic modes |
| url | https://hdl.handle.net/1721.1/131652 |
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