11 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, MichaÅ SpaliÅski +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,…