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S. Grozdanov, P. K. Kovtun, A. O. Starinets, and P. Tadić, “The complex life of hydrodynamic modes,” arXiv:1904.12862 [hep-th]
Original
1904
Earlier work this paper cites.
S. Grozdanov, P. K. Kovtun, A. O. Starinets, and P. Tadić, “Convergence of the Gradient Expansion in Hydrodynamics,” Phys. Rev. Lett
Original
1904
Earlier work this paper cites.
M. Blake, R. A. Davison, and D. Vegh, “Horizon constraints on holographic Green’s functions,” JHEP
Original
1904
Earlier work this paper cites.
M. Natsuume and T. Okamura, “Nonuniqueness of Green’s functions at special points,” JHEP
Original
1905
Earlier work this paper cites.
S. Das, B. Ezhuthachan, and A. Kundu, “Real time dynamics from low point correlators in 2d BCFT,” JHEP
Original
1907
Earlier work this paper cites.
A. Jansen, A. Rostworowski, and M. Rutkowski, “Master equations and stability of Einstein-Maxwell-scalar black holes,” JHEP
Original
1909
Earlier work this paper cites.
N. Ceplak, K. Ramdial, and D. Vegh, “Fermionic pole-skipping in holography,” arXiv:1910.02975 [hep-th]
Original
1910
Earlier work this paper cites.
H. Kodama and A. Ishibashi, “Master equations for perturbations of generalized static black holes with charge in higher dimensions,” Prog. Theor. Phys
2004
Earlier work this paper cites.
P. K. Kovtun and A. O. Starinets, “Quasinormal modes and holography,” Phys. Rev
2005
Earlier work this paper cites.
D. T. Son and A. O. Starinets, “Hydrodynamics of r-charged black holes,” JHEP
2006
Earlier work this paper cites.
M. P. Heller, A. Serantes, M. Spaliński, V. Svensson, and B. Withers, “The hydrodynamic gradient expansion in linear response theory,” arXiv:2007.05524 [hep-th]
Original
2007
Earlier work this paper cites.
N. Abbasi and S. Tahery, “Complexified quasinormal modes and the pole-skipping in a holographic system at finite chemical potential,” arXiv:2007.10024 [hep-th]
Original
2007
Earlier work this paper cites.

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Then

A. Jansen, “Overdamped modes in Schwarzschild-de Sitter and a Mathematica package for the numerical computation of quasinormal modes,” Eur. Phys. J. Plus
Original
2017
Later among the works it cites.
M. P. Heller, A. Kurkela, M. Spaliński, and V. Svensson, “Hydrodynamization in kinetic theory: Transient modes and the gradient expansion,” Phys. Rev
Original
2018
Later among the works it cites.
W. Florkowski, M. P. Heller, and M. Spalinski, “New theories of relativistic hydrodynamics in the LHC era,” Rept. Prog. Phys
Original
2018
Later among the works it cites.
M. Spaliński, “On the hydrodynamic attractor of Yang–Mills plasma,” Phys. Lett
Original
2018
Later among the works it cites.
J. Casalderrey-Solana, N. I. Gushterov, and B. Meiring, “Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography,” JHEP

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2020

Quasinormal modes in charged fluids at complex momentum

Jansen, Aron, Pantelidou, Christiana

Understand

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.