Resurgence in extended hydrodynamics
Resurgence in extended hydrodynamics
It has recently been understood that the hydrodynamic series generated by the M\"uller-Israel-Stewart theory is divergent, and that this large order behaviour is consistent with the theory of resurgence. Furthermore, it was observed, that the physical origin of this is the presence of a purely damped nonhydrodynamic mode. It is very interesting to ask whether this picture persists in cases where the spectrum of nonhydrodynamic modes is richer. We take the first step in this direction by considering the simplest hydrodynamic theory which, instead of the purely damped mode, contains a pair of nonhydrodynamic modes of complex conjugate frequencies. This mimics the pattern of black brane quasinormal modes which appear on the gravity side of the AdS/CFT description of \symm\ plasma. We find that the resulting hydrodynamic series is divergent in a way consistent with resurgence and precisely encodes information about the nonhydrodynamic modes of the theory.
hep-th, math-ph, math.MP
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Spaliński, Michał
3fabf22d-7873-492c-8bc6-6101c914c2b0
4 April 2016
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Spaliński, Michał
3fabf22d-7873-492c-8bc6-6101c914c2b0
Abstract
It has recently been understood that the hydrodynamic series generated by the M\"uller-Israel-Stewart theory is divergent, and that this large order behaviour is consistent with the theory of resurgence. Furthermore, it was observed, that the physical origin of this is the presence of a purely damped nonhydrodynamic mode. It is very interesting to ask whether this picture persists in cases where the spectrum of nonhydrodynamic modes is richer. We take the first step in this direction by considering the simplest hydrodynamic theory which, instead of the purely damped mode, contains a pair of nonhydrodynamic modes of complex conjugate frequencies. This mimics the pattern of black brane quasinormal modes which appear on the gravity side of the AdS/CFT description of \symm\ plasma. We find that the resulting hydrodynamic series is divergent in a way consistent with resurgence and precisely encodes information about the nonhydrodynamic modes of the theory.
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Accepted/In Press date: 19 November 2015
Published date: 4 April 2016
Keywords:
hep-th, math-ph, math.MP
Identifiers
Local EPrints ID: 424143
URI: http://eprints.soton.ac.uk/id/eprint/424143
ISSN: 1550-7998
PURE UUID: a027060a-6ea7-465d-91bf-a33e1b69cb76
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Date deposited: 05 Oct 2018 11:30
Last modified: 16 Mar 2024 04:39
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Author:
Michał Spaliński
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