Exponentially small high-frequency corrections to holographic thermal correlators are computed from null geodesics reflecting at the black hole singularity, with numerically verified reflection coefficients.
A Bohr-Sommerfeld quantization formula for quasinormal frequencies of AdS black holes
10 Pith papers cite this work. Polarity classification is still indexing.
10
Pith papers citing it
abstract
We derive a quantization formula of Bohr-Sommerfeld type for computing quasinormal frequencies for scalar perturbations in an AdS black hole in the limit of large scalar mass or spatial momentum. We then apply the formula to find poles in retarded Green functions of boundary CFTs on $R^{1,d-1}$ and $RxS^{d-1}$. We find that when the boundary theory is perturbed by an operator of dimension $\Delta>> 1$, the relaxation time back to equilibrium is given at zero momentum by ${1 \over \Delta \pi T} << {1 \over \pi T}$. Turning on a large spatial momentum can significantly increase it. For a generic scalar operator in a CFT on $R^{1,d-1}$, there exists a sequence of poles near the lightcone whose imaginary part scales with momentum as $p^{-{d-2 \over d+2}}$ in the large momentum limit. For a CFT on a sphere $S^{d-1}$ we show that the theory possesses a large number of long-lived quasiparticles whose imaginary part is exponentially small in momentum.
citation-role summary
background 2
citation-polarity summary
fields
hep-th 10roles
background 2polarities
background 2representative citing papers
Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q predictions matching independent numerics to ten to thirty decimal places.
Real-analytic perturbations of AdS4 black branes exhibit stretched-exponential decay exp(-c t^{5/6}) controlled by the large-k tail of the quasinormal mode spectrum.
Retarded correlators of bulk scalars and Wilson-line displacement operators exhibit bouncing singularities at t_c=β/2(1+i) with matching WKB and asymptotic OPE data, implying a universal high-frequency factorization.
Finite-temperature quasinormal modes in SYK connect infinite-T Christmas-tree spectra to JT gravity and show monotonic relaxation-rate growth only at strong coupling.
Derives WGC bound on probe charge-to-mass ratio from positivity of anomalous dimensions in dual CFT for charged particles in higher-derivative AdS black holes, with bound increasing with couplings and ISCOs existing up to the bound.
A formula maps QFT response functions under periodic sources to Einstein ring images of dual AdS black holes, with the ring radius set by the QFT total energy for Schwarzschild-AdS4.
ISCOs mark coalescence points of center and saddle fixed points in black hole effective potentials, exhibiting van der Waals-like mean-field scaling, with corresponding negative and positive anomalous dimensions for center and saddle in the dual CFT.
Non-conformal deformation via Einstein-dilaton gravity increases the radius of convergence of the derivative expansion for gapped quasinormal modes of a scalar operator in the holographic dual.
citing papers explorer
-
Imprint of the black hole singularity on thermal two-point functions
Exponentially small high-frequency corrections to holographic thermal correlators are computed from null geodesics reflecting at the black hole singularity, with numerically verified reflection coefficients.
-
Analytic approaches to perturbations of strongly coupled Yang-Mills plasma
Scalar-channel quasinormal modes of the planar AdS5 black brane are captured across all wave numbers by exact WKB quantisation, transseries resummation, and Seiberg–Witten analytic continuation, with resummed large-q predictions matching independent numerics to ten to thirty decimal places.
-
After the Fluid: Subexponential Decay in AdS$_4$
Real-analytic perturbations of AdS4 black branes exhibit stretched-exponential decay exp(-c t^{5/6}) controlled by the large-k tail of the quasinormal mode spectrum.
-
Bouncing singularities and thermal correlators on line defects
Retarded correlators of bulk scalars and Wilson-line displacement operators exhibit bouncing singularities at t_c=β/2(1+i) with matching WKB and asymptotic OPE data, implying a universal high-frequency factorization.
-
On the temperature dependence of quasinormal modes in SYK and holography
Finite-temperature quasinormal modes in SYK connect infinite-T Christmas-tree spectra to JT gravity and show monotonic relaxation-rate growth only at strong coupling.
-
ISCOs and the weak gravity conjecture bound in higher derivative theories of gravity
Derives WGC bound on probe charge-to-mass ratio from positivity of anomalous dimensions in dual CFT for charged particles in higher-derivative AdS black holes, with bound increasing with couplings and ISCOs existing up to the bound.
-
Einstein Rings in Holography
A formula maps QFT response functions under periodic sources to Einstein ring images of dual AdS black holes, with the ring radius set by the QFT total energy for Schwarzschild-AdS4.
-
Criticality of ISCOs and AdS/CFT
ISCOs mark coalescence points of center and saddle fixed points in black hole effective potentials, exhibiting van der Waals-like mean-field scaling, with corresponding negative and positive anomalous dimensions for center and saddle in the dual CFT.
-
Effect of non-conformal deformation on the gapped quasi-normal modes and the holographic implications
Non-conformal deformation via Einstein-dilaton gravity increases the radius of convergence of the derivative expansion for gapped quasinormal modes of a scalar operator in the holographic dual.
- Bouncing Geodesics, Singularities, and the Cavity Thermal Product Formula in Asymptotically Flat and de Sitter Black Holes