On consistency of hydrodynamic approximation for chiral media

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Abstract
We consider chiral liquids, consisting of massless fermions and right-left asymmetric. In such media, one expects existence of electromagnetic current in equilibrium flowing along external magnetic field. The current is predicted to be dissipation free. We argue that actually the chiral liquids in the hydrodynamic approximation should satisfy further constraints, like infinite classical conductivity. Inclusion of higher orders in electromagnetic interactions is crucial to reach the conclusions.

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