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Phys. Rev. Lett. 103, 191601 (2009) [4 pages]

Hydrodynamics with Triangle Anomalies

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Dam T. Son1 and Piotr Surówka2,3
1Institute for Nuclear Theory, University of Washington, Seattle, Washington 98195-1550, USA
2Department of Physics, University of Washington, Seattle, Washington 98195-1560, USA
3Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Received 18 August 2009; published 6 November 2009

We consider the hydrodynamic regime of theories with quantum anomalies for global currents. We show that a hitherto discarded term in the conserved current is not only allowed by symmetries, but is in fact required by triangle anomalies and the second law of thermodynamics. This term leads to a number of new effects, one of which is chiral separation in a rotating fluid at nonzero chemical potential. The new kinetic coefficients can be expressed, in a unique fashion, through the anomaly coefficients and the equation of state. We briefly discuss the relevance of this new hydrodynamic term for physical situations, including heavy-ion collisions.

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.103.191601
DOI:
10.1103/PhysRevLett.103.191601
PACS:
11.15.−q, 11.25.Tq, 12.38.Mh, 47.75.+f