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 [1]. Due to quantum effects, at distances of order the Planck length to the horizon, a dramatic breakdown of Rindler geometry is observed.
Highlights
Introduction and summaryThe goal of this work is to explore the bulk of Jackiw-Teitelboim (JT) quantum gravity, starting from the boundary observer’s data
The idea is that the calculations are more tractable than for example in AdS3/CFT2, whilst the theory is still complex enough to result in nontrivial lessons about quantum gravity
We find that quantum gravity effects dominate near-horizon physics
Summary
The goal of this work is to explore the bulk of Jackiw-Teitelboim (JT) quantum gravity, starting from the boundary observer’s data. The exact calculation of geometric observables in quantum gravity: the metric and the geodesic distance between two bulk points. The first step towards defining local bulk observables in any theory of quantum gravity is to find a suitable diffeomorphism invariant definition of a bulk frame This can be achieved by anchoring bulk points to the boundary by means of some geometric observable. He observes a breakdown of semiclassical gravity close to the horizon, in line with the general lessons from section 2. In particular we highlight how the importance of non-perturbative effects in the gravitational coupling C for near-horizon physics, follows from the late time power-law decay of boundary correlation functions.. Within JT gravity, and given our choice of bulk frame
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