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Quasinormal modes in charged fluids at complex momentum
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We investigate the convergence of relativistic hydrodynamics in charged fluids, within the framework of holography. On the one hand, we consider the analyticity properties of the dispersion relations of the hydrodynamic modes on the complex frequency and momentum plane and on the other hand, we perform a perturbative expansion of the dispersion relations in small momenta to a very high order. We see that the locations of the branch points extracted using the first approach are in good quantitative agreement with the radius of convergence extracted perturbatively. We see that for different values of the charge, different types of pole collisions set the radius of convergence. The latter turns out to be finite in the neutral case for all hydrodynamic modes, while it goes to zero at extremality for the shear and sound modes. Furthermore, we also establish the phenomenon of pole-skipping for the Reissner-Nordstrom black hole, and we find that the value of the momentum for which this phenomenon occurs need not be within the radius of convergence of hydrodynamics.
Forward citations
Cited by 6 Pith papers
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High-Order Pole-Skipping in Near-Extremal Holography
In near-extremal holographic black holes, the n-th order pole-skipping momentum with mode index q becomes order-independent as T→0: k²_{n,q} → −m²h(r_h) + ½q(q−1)h(r_h)f″(r_h), with q identified as the AdS2 IR conform...
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Causality constraints and anisotropic states
In anisotropic relativistic fluids, branch-point dispersion relations force a continuum of complex-wavevector mode collisions, and causality bounds the convergence radius direction-by-direction in terms of transport c...
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Schwarzian quantum corrections to shear correlators of the near-extremal Reissner-Nordstr\"om-AdS black hole
Schwarzian quantum fluctuations raise the shear viscosity of near-extremal Reissner-Nordström-AdS4 black holes above s/4π by a positive O(1/(CT)^2) correction and are argued to lift the classical T=0 gapless shear mode.
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Thermal Correlators and Black Holes: From Infinity to Singularity
The stress-tensor part of thermal correlators develops complex-time singularities at exactly the locations where bulk geodesics reflect off the black hole singularity, and in Gauss-Bonnet holography ANEC saturation ma...
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Pole-skipping without master variable and holographic superfluids
A master-variable-free matrix formalism for pole-skipping, applied to holographic superfluids, shows that the massless order parameter produces no new hydrodynamic pole-skipping point.
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Thermal holographic correlators and KMS condition
Imposing KMS periodicity on the holographic stress-tensor sector determines the double-trace sector, and the image-sum and Borel-resummed sum-rule routes agree.
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