  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.
