Convergence of the Gradient Expansion in Hydrodynamics - INSPIRE

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Convergence of the Gradient Expansion in Hydrodynamics

Sašo Grozdanov
(
- MIT, Cambridge, CTP
)
,
Pavel K. Kovtun
(
- Victoria U.
)
,
Andrei O. Starinets
(
- Oxford U., Theor. Phys.
)
,
Petar Tadić
(
- Trinity Coll., Dublin
)

Apr 1, 2019

6 pages

Published in:

Phys.Rev.Lett. 122 (2019) 25, 251601

Published: Jun 29, 2019

e-Print:

1904.01018 [hep-th]

DOI:

10.1103/PhysRevLett.122.251601

Report number:

MIT-CTP/5100,
OUTP-19-01P

View in:

ADS Abstract Service

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Abstract: (APS)

Hydrodynamic excitations corresponding to sound and shear modes in fluids are characterized by gapless dispersion relations. In the hydrodynamic gradient expansion, their frequencies are represented by power series in spatial momenta. We investigate the analytic structure and convergence properties of the hydrodynamic series by studying the associated spectral curve in the space of complexified frequency and complexified spatial momentum. For the strongly coupled N=4 supersymmetric Yang-Mills plasma, we use the holographic duality methods to demonstrate that the derivative expansions have finite nonzero radii of convergence. Obstruction to the convergence of hydrodynamic series arises from level crossings in the quasinormal spectrum at complex momenta.

Note:

V3: 5 pages, 2 figures. Final version. Published in Physical Review Letters with the title "Convergence of the Gradient Expansion in Hydrodynamics"

Elementary Particles and Fields
expansion: gradient
expansion: derivative
supersymmetry: 4
duality: holography
plasma: Yang-Mills
hydrodynamics
dispersion relation
strong coupling

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