Boundary correlators and the Schwarzian mode
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866913208427610112 |
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| author | Daguerre, Lucas |
| author_facet | Daguerre, Lucas |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_19885 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Boundary correlators and the Schwarzian mode Daguerre, Lucas High Energy Physics - Theory Strongly Correlated Electrons General Relativity and Quantum Cosmology 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. |
| title | Boundary correlators and the Schwarzian mode |
| topic | High Energy Physics - Theory Strongly Correlated Electrons General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2310.19885 |