REVIEW 5 cited by
Thermal one point functions, large $d$ and interior geometry of black holes
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
abstract
We study thermal one point functions of massive scalars in $AdS_{d+1}$ black holes. These are induced by coupling the scalar to either the Weyl tensor squared or the Gauss-Bonnet term. Grinberg and Maldacena argued that the one point functions sourced by the Weyl tensor exponentiate in the limit of large scalar masses and they contain information of the black hole geometry behind the horizon. We observe that the one point functions behave identically in this limit for either of the couplings mentioned earlier. We show that in an appropriate large $d$ limit, the one point function for the charged black hole in $AdS_{d+1}$ can be obtained exactly. These black holes in general contain an inner horizon. We show that the one point function exponentiates and contains the information of both the proper time between the outer horizon to the inner horizon as well as the proper length from the inner horizon to the singularity. We also show that Gauss-Bonnet coupling induced one point functions in $AdS_{d+1}$ black holes with hyperbolic horizons behave as anticipated by Grinberg-Maldacena. Finally, we study the one point functions in the background of rotating BTZ black holes induced by the cubic coupling of scalars.
Forward citations
Cited by 5 Pith papers
-
Light-like retarded correlators and the horizon
At large light-like momenta, holographic retarded correlators scale as a horizon-curvature-dependent power of ω, weaker than the naive ω^{2Δ−d}.
-
Bouncing singularities and thermal correlators on line defects
Retarded correlators of displacement operators on line defects in holographic thermal CFTs exhibit bouncing singularities that match between interior-sensitive WKB and boundary-only OPE analyses.
-
Imprint of the black hole interior on thermal four-point correlators
Analytically continuing and smearing thermal four-point correlators turns them into flat-space scattering amplitudes at a bulk point inside the black hole.
-
One-point holographic correlator in the expanding universe
In the RS-II braneworld with p-brane gas, the holographic thermal one-point function of heavy operators inherits its time dependence from the brane motion: late-time power-law decays τ^{-Δ/2}, τ^{-2Δ/3}, τ^{-Δ} for ra...
-
Geodesics, One Point Functions and Black Hole Perturbations
In a perturbed Euclidean BTZ black hole, the first-order change in the thermal one-point function is still controlled by the change in the boundary-to-horizon geodesic length, up to m-dependent prefactors.
Discussion (0). Continue with ORCID to comment.