Topological sigma models & dissipative hydrodynamics
Topological sigma models & dissipative hydrodynamics
We outline a universal Schwinger-Keldysh effective theory which describes macroscopic thermal fluctuations of a relativistic field theory. The basic ingredients of our construction are three: a doubling of degrees of freedom, an emergent abelian symmetry associated with entropy, and a topological (BRST) supersymmetry imposing fluctuation-dissipation theorem. We illustrate these ideas for a non-linear viscous fluid, and demonstrate that the resulting effective action obeys a generalized fluctuation-dissipation theorem, which guarantees a local form of the second law.
hep-th, cond-mat.stat-mech, gr-qc, physics.flu-dyn
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Loganayagam, R.
18806477-1ac8-419a-9729-0e36440bd36a
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
7 April 2016
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Loganayagam, R.
18806477-1ac8-419a-9729-0e36440bd36a
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
Haehl, Felix M., Loganayagam, R. and Rangamani, Mukund
(2016)
Topological sigma models & dissipative hydrodynamics.
Journal of High Energy Physics, [39 (2016)].
(doi:10.1007/JHEP04(2016)039).
Abstract
We outline a universal Schwinger-Keldysh effective theory which describes macroscopic thermal fluctuations of a relativistic field theory. The basic ingredients of our construction are three: a doubling of degrees of freedom, an emergent abelian symmetry associated with entropy, and a topological (BRST) supersymmetry imposing fluctuation-dissipation theorem. We illustrate these ideas for a non-linear viscous fluid, and demonstrate that the resulting effective action obeys a generalized fluctuation-dissipation theorem, which guarantees a local form of the second law.
Text
1511.07809v3
- Accepted Manuscript
Available under License Other.
Text
JHEP04(2016)039
- Version of Record
More information
Submitted date: 24 November 2015
Accepted/In Press date: 21 March 2016
Published date: 7 April 2016
Additional Information:
22 pages. v2: added clarifications, fixed typos. v3: reference oversight fixed
Keywords:
hep-th, cond-mat.stat-mech, gr-qc, physics.flu-dyn
Identifiers
Local EPrints ID: 469964
URI: http://eprints.soton.ac.uk/id/eprint/469964
ISSN: 1126-6708
PURE UUID: d38dd939-283a-4679-993d-b3eaae6939bf
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Date deposited: 29 Sep 2022 16:39
Last modified: 17 Mar 2024 04:14
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Contributors
Author:
Felix M. Haehl
Author:
R. Loganayagam
Author:
Mukund Rangamani
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