Anomalies in Superfluids and a Chiral Electric Effect

Details Anomalies in Superfluids and a Chiral Electric Effect Anomalies in Superfluids and a Chiral Electric Effect

2011-06-17

arxiv.org/abs/1106.3576v2

Physics

High Energy Physics

High Energy Physics - Theory

30 pages; Onsager-relations argument corrected, references added

Scientific paper

We analyze the chiral transport terms in relativistic superfluid hydrodynamics. In addition to the spontaneously broken symmetry current, we consider an arbitrary number of unbroken symmetries and extend the results of arXiv:1105.3733. We suggest an interpretation of some of the new transport coefficients in terms of chiral and gravitational anomalies. In particular, we show that with unbroken gauged charges in the system, one can observe a chiral electric conductivity - a current in a perpendicular direction to the applied electric field. We present a motivated proposal for the value of the associated transport coefficient, linking it to the triangle anomaly. Along the way we present new arguments regarding the interpretation of the anomalous transport coefficients in normal fluids. We propose a natural generalization of the chiral transport terms to the case of an arbitrary number of spontaneously broken symmetry currents.

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