Short-lived modes from hydrodynamic dispersion relations
Abstract We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be summed in a way that extends through branch cuts prese...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2018-06-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP06(2018)059 |
| _version_ | 1828467506635866112 |
|---|---|
| author | Benjamin Withers |
| author_facet | Benjamin Withers |
| author_sort | Benjamin Withers |
| collection | DOAJ |
| description | Abstract We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be summed in a way that extends through branch cuts present in the complex q plane, resulting in the accurate description of multiple sheets. Each additional sheet corresponds to the dispersion relation of a different non-hydrodynamic mode. As an example we extract the frequencies of a pair of oscillatory non-hydrodynamic black hole quasinormal modes from the hydrodynamic series. The analytic structure of this model points to the possibility that the complete spectrum of gravitational quasinormal modes may be accessible from the hydrodynamic derivative expansion. |
| first_indexed | 2024-12-11T04:07:13Z |
| format | Article |
| id | doaj.art-2c7f77373f404275af15cb2c14e624bb |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T04:07:13Z |
| publishDate | 2018-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-2c7f77373f404275af15cb2c14e624bb2022-12-22T01:21:29ZengSpringerOpenJournal of High Energy Physics1029-84792018-06-012018611510.1007/JHEP06(2018)059Short-lived modes from hydrodynamic dispersion relationsBenjamin Withers0Department of Theoretical Physics, University of GenevaAbstract We consider the dispersion relation of the shear-diffusion mode in relativistic hydrodynamics, which we generate to high order as a series in spatial momentum q for a holographic model. We demonstrate that the hydrodynamic series can be summed in a way that extends through branch cuts present in the complex q plane, resulting in the accurate description of multiple sheets. Each additional sheet corresponds to the dispersion relation of a different non-hydrodynamic mode. As an example we extract the frequencies of a pair of oscillatory non-hydrodynamic black hole quasinormal modes from the hydrodynamic series. The analytic structure of this model points to the possibility that the complete spectrum of gravitational quasinormal modes may be accessible from the hydrodynamic derivative expansion.http://link.springer.com/article/10.1007/JHEP06(2018)059Black Holes in String TheoryGauge-gravity correspondenceHolography and condensed matter physics (AdS/CMT)Holography and quark-gluon plasmas |
| spellingShingle | Benjamin Withers Short-lived modes from hydrodynamic dispersion relations Journal of High Energy Physics Black Holes in String Theory Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) Holography and quark-gluon plasmas |
| title | Short-lived modes from hydrodynamic dispersion relations |
| title_full | Short-lived modes from hydrodynamic dispersion relations |
| title_fullStr | Short-lived modes from hydrodynamic dispersion relations |
| title_full_unstemmed | Short-lived modes from hydrodynamic dispersion relations |
| title_short | Short-lived modes from hydrodynamic dispersion relations |
| title_sort | short lived modes from hydrodynamic dispersion relations |
| topic | Black Holes in String Theory Gauge-gravity correspondence Holography and condensed matter physics (AdS/CMT) Holography and quark-gluon plasmas |
| url | http://link.springer.com/article/10.1007/JHEP06(2018)059 |
| work_keys_str_mv | AT benjaminwithers shortlivedmodesfromhydrodynamicdispersionrelations |