Effective actions for anomalous hydrodynamics
Effective actions for anomalous hydrodynamics
We argue that an effective field theory of local fluid elements captures the constraints on hydrodynamic transport stemming from the presence of quantum anomalies in the underlying microscopic theory. Focussing on global current anomalies for an arbitrary flavour group, we derive the anomalous constitutive relations in arbitrary even dimensions. We demonstrate that our results agree with the constraints on anomaly governed transport derived hitherto using a local version of the second law of thermodynamics. The construction crucially uses the anomaly inflow mechanism and involves a novel thermofield double construction. In particular, we show that the anomalous Ward identities necessitate non-trivial interaction between the two parts of the Schwinger-Keldysh contour.
hep-th, cond-mat.str-el, gr-qc
Haehl, Felix M.
eb0d74fd-0d8b-4b1b-8686-79d43c2a3a5f
Loganayagam, R.
18806477-1ac8-419a-9729-0e36440bd36a
Rangamani, Mukund
c6e93885-0b7e-4e8c-92e5-56227da78a81
5 March 2014
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
(2014)
Effective actions for anomalous hydrodynamics.
Journal of High Energy Physics, [34 (2014)].
(doi:10.1007/JHEP03(2014)034).
Abstract
We argue that an effective field theory of local fluid elements captures the constraints on hydrodynamic transport stemming from the presence of quantum anomalies in the underlying microscopic theory. Focussing on global current anomalies for an arbitrary flavour group, we derive the anomalous constitutive relations in arbitrary even dimensions. We demonstrate that our results agree with the constraints on anomaly governed transport derived hitherto using a local version of the second law of thermodynamics. The construction crucially uses the anomaly inflow mechanism and involves a novel thermofield double construction. In particular, we show that the anomalous Ward identities necessitate non-trivial interaction between the two parts of the Schwinger-Keldysh contour.
Text
1312.0610v3
- Accepted Manuscript
More information
Accepted/In Press date: 4 February 2014
Published date: 5 March 2014
Additional Information:
62 pages incl appendices. 3 figures. v2: added refs. v3: fixed typos. published version
Keywords:
hep-th, cond-mat.str-el, gr-qc
Identifiers
Local EPrints ID: 469961
URI: http://eprints.soton.ac.uk/id/eprint/469961
ISSN: 1126-6708
PURE UUID: 76dbc5a4-8eb5-4742-a9fb-7ef413fb52a1
Catalogue record
Date deposited: 29 Sep 2022 16:38
Last modified: 17 Mar 2024 04:14
Export record
Altmetrics
Contributors
Author:
Felix M. Haehl
Author:
R. Loganayagam
Author:
Mukund Rangamani
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