The University of Southampton
University of Southampton Institutional Repository

Resurgence in extended hydrodynamics

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
1550-7998
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Spaliński, Michał
3fabf22d-7873-492c-8bc6-6101c914c2b0
Aniceto, Inês
0061ca0c-1ad8-4510-9b12-008e5c27a7ea
Spaliński, Michał
3fabf22d-7873-492c-8bc6-6101c914c2b0

Aniceto, Inês and Spaliński, Michał (2016) Resurgence in extended hydrodynamics. Physical Review D, 93. (doi:10.1103/PhysRevD.93.085008).

Record type: Article

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.

Full text not available from this repository.

More information

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: https://eprints.soton.ac.uk/id/eprint/424143
ISSN: 1550-7998
PURE UUID: a027060a-6ea7-465d-91bf-a33e1b69cb76

Catalogue record

Date deposited: 05 Oct 2018 11:30
Last modified: 27 Feb 2019 17:30

Export record

Altmetrics

Contributors

Author: Inês Aniceto
Author: Michał Spaliński

University divisions

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of https://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×