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Anomalous Chiral Superfluidity · Around

2009

Anomalous Chiral Superfluidity

Lublinsky, Michael, Zahed, Ismail

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We discuss both the anomalous Cartan currents and the energy-momentum tensor in a left chiral theory with flavour anomalies as an effective theory for flavored chiral phonons in a chiral superfluid with the gauged Wess-Zumino-Witten term.

In the mean-field (leading tadpole) approximation the anomalous Cartan currents and the energy momentum tensor take the form of constitutive currents in the chiral superfluid state.
The pertinence of higher order corrections and the Adler-Bardeen theorem is briefly noted.

Built on

J. Wess and B. Zumino, Phys. Lett. 37B (1971) 95; E. Witten, Nucl. Phys. B223
1983
Earlier work this paper cites.
S. L. Adler and W. A. . Bardeen, Phys. Rev. 182
1983
Earlier work this paper cites.
M. A. Nowak, M. Rho and I. Zahed, ”Chiral Nuclear Dynamics”, World Scientific (1996)
1996
Earlier work this paper cites.

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D. T. Son and P. Surowka, “Hydrodynamics with Triangle Anomalies,” [arXiv:0906.5044 [hep-th]]
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A. Rebhan, A. Schmitt and S. Stricker, ” Anomalies and the chiral magnetic effect in the Sakai-Sugimoto model. ” [arXiv:0909.4782 [hep-th]]
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D. T. Son, ”Low-Energy Quantum Effective Action for Relativistic Superfluids”, [arXiV:0204199[hep-ph]]
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Then

J. Erdmenger, M. Haack, M. Kaminski and A. Yarom, “Fluid dynamics of R-charged black holes,” JHEP 0901
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