22 citations · 39 across the 13 of their papers we have counts for
13 papers
OPE = QNM
Paolo Arnaudo, Cristoforo Iossa, Robin Karlsson +1
At microscopic scales the linear response of thermal states of large- CFTs is governed by a thermal operator product expansion (OPE), while at large scales response is governed…
Bouncing singularities in Schwarzschild: a geometric origin of the QNM convergence region
Paolo Arnaudo, Benjamin Withers
We show analytically that the convergence of the QNM expansion of the retarded Green's function of the Schwarzschild spacetime is set by a singularity in the complex time plane. Th…
Analytic structure of holographic thermal correlators from Fourier series
Paolo Arnaudo, Benjamin Withers
We compute the holographic Euclidean two-point function of scalar operators in a thermal state. We work directly using the Fourier series on the thermal circle. The Fourier series…
Price's law from quasinormal modes
Paolo Arnaudo, Benjamin Withers
We show that Price's power-law tail for perturbations of Schwarzschild, as , can be obtained from a sum of Schwarzschild-de Sitter quasinormal modes in…
Stable evolution of relativistic hydrodynamics order-by-order in gradients
Michal P. Heller, Alexandre Serantes, Michał Spaliński +1
We provide a systematic framework for solving the initial value problem for relativistic hydrodynamics formulated as a gradient expansion. Secular growth is handled by a suitable c…
Beyond quasinormal modes: a complete mode decomposition of black hole perturbations
Paolo Arnaudo, Javier Carballo, Benjamin Withers
We show that retarded Green's functions of black hole spacetimes can be expressed as a convergent mode sum everywhere in spacetime. At late times a quasinormal mode sum converges,…
Transients in black hole perturbation theory
Jérémy Besson, Javier Carballo, Christiana Pantelidou +1
Black hole quasinormal modes arise as eigenmodes of a non-normal Hamiltonian and consequently they do not obey orthogonality relations with respect to commonly used inner products,…
QNM orthogonality relations for AdS black holes
Paolo Arnaudo, Javier Carballo, Benjamin Withers
We present orthogonality relations for quasinormal modes of a wide class of asymptotically AdS black holes. The definition is obtained from a standard product, modified by a CPT op…
Non-modal effects in black hole perturbation theory: Transient Superradiance
Javier Carballo, Christiana Pantelidou, Benjamin Withers
We study the non-modal stability of black hole spacetimes under linear perturbations. We show that large-amplitude growth can occur at finite time, despite asymptotic decay of line…
Exact low-temperature Green's functions in AdS/CFT: From Heun to confluent Heun
Paolo Arnaudo, Benjamin Withers
We obtain exact expressions for correlation functions of charged scalar operators at finite density and low temperature in CFT dual to the RN-AdS black brane. We use recent…
Transient dynamics of quasinormal mode sums
Javier Carballo, Benjamin Withers
Quasinormal modes of spacetimes with event horizons are typically governed by a non-normal operator. This gives rise to spectral instabilities, a topic of recent interest in the bl…
The Ambient Space Formalism
Enrico Parisini, Kostas Skenderis, Benjamin Withers
We present a new formalism to solve the kinematical constraints due to Weyl invariance for CFTs in curved backgrounds and/or non-trivial states, and we apply it to thermal CFTs and…
Black hole excited states from broken translations in Euclidean time
Christiana Pantelidou, Benjamin Withers
We prepare an excited finite temperature state in SYM by means of a Euclidean path integral with a relevant deformation. The deformation explicitly breaks imaginary-ti…