  We consider infrared dependences of chiral effects, like chiral magnetic
effect, in chiral media. The main observation is that there exist competing
infrared-sensitive parameters, sometimes not apparent. The value of the chiral
effects depends in fact on the actual hierarchy of the parameters. Some
examples have been already given in the literature. We argue that
magnetostatics of chiral media with a non-vanishing chiral chemical potential
$\mu_5\neq 0$ is also infrared sensitive. In particular, the system turns to be
unstable if the volume is large enough. The instability is with respect to the
decay of the system into domains of non-vanishing magnetic field with
non-trivial helicity.
