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arXiv · 1402.3587

On consistency of hydrodynamic approximation for chiral media

A. Avdoshkin·V. P. Kirilin·A. V. Sadofyev·V. I. Zakharov
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Abstract

We consider chiral liquids, that is liquids consisting of massless fermions and right-left asymmetric. In such media, one expects existence of electromagnetic current flowing along an external magnetic field, associated with the chiral anomaly. The current is predicted to be dissipation-free. We consider dynamics of chiral liquids, concentrating on the issues of possible instabilities and infrared sensitivity. Instabilities arise, generally speaking, already in the limit of vanishing electromagnetic constant, $\alpha_{el}\to 0$. In particular, liquids with non-vanishing chiral chemical potential might decay into right-left asymmetric states containing vortices.

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A. Avdoshkin, V. P. Kirilin, A. V. Sadofyev, V. I. Zakharov. 2014-02-14. On consistency of hydrodynamic approximation for chiral media. https://arxiv.org/abs/1402.3587

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