Boundary correlators and the Schwarzian mode
arXiv:2310.19885 · doi:10.1007/JHEP01(2024)118
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.
23 pages + Appendices, 5 figures. v2 and v3: minor corrections
References in corpus (10)
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
- Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
- Universal low temperature theory of charged black holes with AdS horizons
- Revisiting Leading Quantum Corrections to Near Extremal Black Hole Thermodynamics
- An effective description of momentum diffusion in a charged plasma from holography
- Equivalence of JT Gravity and Near-extremal Black Hole Dynamics in Higher Derivative Theory
- The timbre of Hawking gravitons: an effective description of energy transport from holography
- Open effective theory of scalar field in rotating plasma
- An effective description of charge diffusion and energy transport in a charged plasma from holography