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.
Keywords
Cite
@article{arxiv.1902.11194,
title = {Clocks and Rods in Jackiw-Teitelboim Quantum Gravity},
author = {Andreas Blommaert and Thomas G. Mertens and Henri Verschelde},
journal= {arXiv preprint arXiv:1902.11194},
year = {2019}
}
Comments
37 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