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Effective actions for anomalous hydrodynamics

Haehl, Felix M.; Loganayagam, R.; Rangamani, Mukund

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Felix M. Haehl

R. Loganayagam

Mukund Rangamani


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.


Haehl, F. M., Loganayagam, R., & Rangamani, M. (2014). Effective actions for anomalous hydrodynamics. Journal of High Energy Physics, 2014(3), Article 034.

Journal Article Type Article
Acceptance Date Feb 4, 2014
Online Publication Date Mar 5, 2014
Publication Date Mar 5, 2014
Deposit Date Mar 29, 2014
Publicly Available Date Mar 31, 2014
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2014
Issue 3
Article Number 034
Keywords Gauge-gravity correspondence, Chern-Simons Theories, Anomalies in Field and String Theories.


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Copyright Statement
Open Access, © The Authors. Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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