Boundary correlators and the Schwarzian mode
Abstract The effective low temperature dynamics of near-extremal black holes is governed by the quantum fluctuations of the Schwarzian mode of JT gravity. Utilizing as a proxy a planar charged black hole in asymptotically Anti-de-Sitter spacetime, we investigate the effects of these fluctuations on...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2024)118 |
| _version_ | 1797341368723439616 |
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| author | Lucas Daguerre |
| author_facet | Lucas Daguerre |
| author_sort | Lucas Daguerre |
| collection | DOAJ |
| description | Abstract The effective low temperature dynamics of near-extremal black holes is governed by the quantum fluctuations of the Schwarzian mode of JT gravity. Utilizing as a proxy a planar charged black hole in asymptotically Anti-de-Sitter spacetime, we investigate the effects of these fluctuations on a probe scalar field. The corresponding holographic real-time boundary correlators are computed following a holographic renormalization procedure, using the dubbed gravitational Schwinger-Keldysh geometry (grSK) and known exact results of boundary correlators from the near-horizon region. This analysis gives rise to a retarded Green’s function that decays as a power law for late Lorentzian times. Its analytic structure indicates the presence of a branch cut in the complex frequency domain at finite temperature. These features are a non-perturbative hallmark that prevails as long as the planar transverse space is kept compact. |
| first_indexed | 2024-03-08T10:18:03Z |
| format | Article |
| id | doaj.art-bdf7ef316a684db8af74e1f9429e927d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-08T10:18:03Z |
| publishDate | 2024-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-bdf7ef316a684db8af74e1f9429e927d2024-01-28T12:23:49ZengSpringerOpenJournal of High Energy Physics1029-84792024-01-012024113310.1007/JHEP01(2024)118Boundary correlators and the Schwarzian modeLucas Daguerre0Department of Physics and Astronomy, University of CaliforniaAbstract The effective low temperature dynamics of near-extremal black holes is governed by the quantum fluctuations of the Schwarzian mode of JT gravity. Utilizing as a proxy a planar charged black hole in asymptotically Anti-de-Sitter spacetime, we investigate the effects of these fluctuations on a probe scalar field. The corresponding holographic real-time boundary correlators are computed following a holographic renormalization procedure, using the dubbed gravitational Schwinger-Keldysh geometry (grSK) and known exact results of boundary correlators from the near-horizon region. This analysis gives rise to a retarded Green’s function that decays as a power law for late Lorentzian times. Its analytic structure indicates the presence of a branch cut in the complex frequency domain at finite temperature. These features are a non-perturbative hallmark that prevails as long as the planar transverse space is kept compact.https://doi.org/10.1007/JHEP01(2024)118AdS-CFT Correspondence2D GravityThermal Field Theory |
| spellingShingle | Lucas Daguerre Boundary correlators and the Schwarzian mode Journal of High Energy Physics AdS-CFT Correspondence 2D Gravity Thermal Field Theory |
| title | Boundary correlators and the Schwarzian mode |
| title_full | Boundary correlators and the Schwarzian mode |
| title_fullStr | Boundary correlators and the Schwarzian mode |
| title_full_unstemmed | Boundary correlators and the Schwarzian mode |
| title_short | Boundary correlators and the Schwarzian mode |
| title_sort | boundary correlators and the schwarzian mode |
| topic | AdS-CFT Correspondence 2D Gravity Thermal Field Theory |
| url | https://doi.org/10.1007/JHEP01(2024)118 |
| work_keys_str_mv | AT lucasdaguerre boundarycorrelatorsandtheschwarzianmode |