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.
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Acknowledgments
I especially thank Mukund Rangamani for suggesting the problem and for fruitful discussions. In addition, I want to thank Pedro J. Martinez for giving feedback on the final draft, and the anonymous referee for their comments. I also thank Victor Godet, Giuseppe Policastro, Balt C. van Rees and Julio Virrueta for discussions, and Sophia Minnillo for proofreading the draft. LD was supported by U.S. Department of Energy grant DE-SC0020360 under the HEP-QIS QuantISED program, and by a Dean’s Distinguished Graduate Fellowship from the College of Letters and Science of the University of California, Davis. LD appreciates the hospitality at the Center for Quantum Mathematics and Physics (QMAP), Davis, as well as at the International Center for Interdisciplinary Science and Education (ICISE) at Quy Nhon, Vietnam in the context of the “Advanced Summer School in Quantum Field Theory and Quantum Gravity”.
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Daguerre, L. Boundary correlators and the Schwarzian mode. J. High Energ. Phys. 2024, 118 (2024). https://doi.org/10.1007/JHEP01(2024)118
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DOI: https://doi.org/10.1007/JHEP01(2024)118