Clocks and Rods in Jackiw-Teitelboim Quantum Gravity

Abstract

We specify bulk coordinates in Jackiw-Teitelboim (JT) gravity using a boundary-intrinsic radar definition. This allows us to study and calculate exactly diff-invariant bulk correlation functions of matter-coupled JT gravity, which are found to satisfy microcausality. We observe that quantum gravity effects dominate near-horizon matter correlation functions. This shows that quantum matter in classical curved spacetime is not a sensible model for near-horizon matter-coupled JT gravity. This is how JT gravity, given our choice of bulk frame, evades an information paradox. This echoes into the quantum expectation value of the near-horizon metric, whose analysis is extended from the disk model to the recently proposed topological completion of JT gravity. Due to quantum effects, at distances of order the Planck length to the horizon, a dramatic breakdown of Rindler geometry is observed.

arXiv comment37 pages + appendices, v4: improved discussion on conformal anomaly and choice of bulk observable, added appendix on massive bulk correlators and global conformal blocks, corrected several equations in section 5 and appendix E, typos corrected, matches published version

References in corpus (77)

• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Eternal Black Holes in AdS
• Black Holes: Complementarity or Firewalls?
• The information paradox: A pedagogical introduction
• Chaos in AdS${}_2$ holography
• The Spectrum in the Sachdev-Ye-Kitaev Model
• An Investigation of AdS${}_2$ Backreaction and Holography
• Quantum Gravity Partition Functions in Three Dimensions
• Holographic representation of local bulk operators
• Jerusalem Lectures on Black Holes and Quantum Information
• Fermionic Localization of the Schwarzian Theory
• Local bulk operators in AdS/CFT: a boundary view of horizons and locality
• Sachdev-Ye-Kitaev Model as Liouville Quantum Mechanics
• Solving the Schwarzian via the Conformal Bootstrap
• The Trouble with de Sitter Space
• Eikonal Quantum Gravity and Planckian Scattering
• Black Hole Complementarity vs. Locality
• Bi-Local Holography in the SYK Model
• Power-law out of time order correlation functions in the SYK model
• Constructing local bulk observables in interacting AdS/CFT
• Strings, Black Holes and Lorentz Contraction
• The Black Hole information problem: past, present, and future
• The Quantum Gravity Dynamics of Near Extremal Black Holes
• On the Dynamics of Near-Extremal Black Holes
• The Bulk Dual of SYK: Cubic Couplings
• Vacuum States for AdS_2 Black Holes
• cMERA as Surface/State Correspondence in AdS/CFT
• Towards a full solution of the large N double-scaled SYK model
• Is There Really a de Sitter/CFT Duality
• Diffeomorphism-invariant observables and their nonlocal algebra
• A theory of reparameterizations for AdS${}_3$ gravity
• Quantum quench of the Sachdev-Ye-Kitaev Model
• All point correlation functions in SYK
• The Schwarzian Theory - Origins
• Statistical mechanics of a two-dimensional black hole
• Black Hole Collapse in the 1/c Expansion
• The Schwarzian Theory - A Wilson Line Perspective
• Towards a 2d QFT Analog of the SYK Model
• Chord diagrams, exact correlators in spin glasses and black hole bulk reconstruction
• Very Long Time Scales and Black Hole Thermal Equilibrium
• Three Dimensional View of the SYK/AdS Duality
• Rindler Quantum Gravity
• Eigenstate thermalization in the Sachdev-Ye-Kitaev model
• Shockwave S-matrix from Schwarzian Quantum Mechanics
• Defects in Jackiw-Teitelboim Quantum Gravity
• Universal low temperature theory of charged black holes with AdS${}_2$ horizons
• Expanding the Black Hole Interior: Partially Entangled Thermal States in SYK
• Developments in Topological Gravity
• Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models
• 2D CFT Partition Functions at Late Times
• Extremal and Near-Extremal Black Holes and Near-$CF{T}_1$
• A Numerical Approach to Virasoro Blocks and the Information Paradox
• Space-Time in the SYK Model
• Edge Dynamics from the Path Integral: Maxwell and Yang-Mills
• A CFT Perspective on Gravitational Dressing and Bulk Locality
• String Theory Versus Black Hole Complementarity
• Local bulk physics from intersecting modular Hamiltonians
• Does the SYK model have a spin glass phase?
• Towards a Reconstruction of General Bulk Metrics
• On the Late-Time Behavior of Virasoro Blocks and a Classification of Semiclassical Saddles
• Towards Black Hole Evaporation in Jackiw-Teitelboim Gravity
• Gauge-invariant observables, gravitational dressings, and holography in AdS
• Degenerate Operators and the $1/c$ Expansion: Lorentzian Resummations, High Order Computations, and Super-Virasoro Blocks
• Edge State Quantization: Vector Fields in Rindler
• Inside Out: Meet The Operators Inside The Horizon
• Perturbative String Thermodynamics near Black Hole Horizons
• String-theoretic breakdown of effective field theory near black hole horizons
• Causal Evolutions of Bulk Local Excitations from CFT
• Random Walks in Rindler Spacetime and String Theory at the Tip of the Cigar
• The long string at the stretched horizon and the entropy of large non-extremal black holes
• Near-Hagedorn Thermodynamics and Random Walks: a General Formalism in Curved Backgrounds
• Eigenvalue instantons in the spectral form factor of random matrix model
• Correlation functions in the Schwarzian theory
• The AdS${}_3$ Propagator and the Fate of Locality
• The Bulk-to-Boundary Propagator in Black Hole Microstate Backgrounds
• Holographic description of asymptotically AdS_2 collapse geometries

Cited by in corpus (31)

• Solvable Models of Quantum Black Holes: A Review on Jackiw-Teitelboim Gravity
• Low-dimensional de Sitter quantum gravity
• An exact quantization of Jackiw-Teitelboim gravity
• Liouville quantum gravity -- holography, JT and matrices
• Jackiw-Teitelboim Gravity and Rotating Black Holes
• Eigenbranes in Jackiw-Teitelboim gravity
• Gravity factorized
• From Quantum Groups to Liouville and Dilaton Quantum Gravity
• An integrable road to a perturbative plateau
• Edge modes as dynamical frames: charges from post-selection in generally covariant theories
• Jackiw-Teitelboim Gravity in the Second Order Formalism
• A universe field theory for JT gravity
• Alpha states demystified: Towards microscopic models of AdS${}_2$ holography
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• Unruh detectors and quantum chaos in JT gravity
• Rotating Black Holes in AdS, Extremality and Chaos
• Degenerate operators in JT and Liouville (super)gravity
• The dilaton gravity hologram of double-scaled SYK
• Jackiw-Teitelboim Model Coupled to Conformal Matter in the Semi-Classical Limit
• Gravitational entropy is observer-dependent
• Operational islands and black hole dissipation in JT gravity
• Path integrals in JT gravity and Virasoro constraints
• Berry Curvature and Riemann Curvature in Kinematic Space with Spherical Entangling Surface
• Subadditive Average Distances and Quantum Promptness
• Polar decomposition of the Wiener measure: Schwarzian theory versus conformal quantum mechanics
• Retrieving black hole information from the main Lorentzian saddle point
• Revealing nonperturbative effects in the SYK model
• Semiclassical correlators in Jackiw-Teitelboim gravity
• Aspects of Jackiw-Teitelboim Gravity in Anti-de Sitter and de Sitter spacetime
• What happens due to the baby universe effect in JT gravity? -Analysis of correlation functions and ERB length at late time using three approaches-
• Fiducial observers and the thermal atmosphere in the black hole quantum throat