  In the theory of the chiral anomaly in relativistic quantum field theories
(RQFT) some results depend on regularization scheme at ultraviolet. In the
chiral superfluid 3He-A, which contains two Weyl points and also experiences
the effects of chiral anomaly, the "trans-Planckian" physics is known and the
results can be obtained without regularization. We discuss this on example of
the chiral magnetic effect (CME), which has been observed in 3He-A in 90's.
There are two forms of the contribution of the CME to the Chern-Simons term in
free energy, perturbative and non-perturbative. The perturbative term comes
from the fermions living in the vicinity of the Weyl point, where the fermions
are "relativistic" and obey the Weyl equation. The non-perturbative term
originates from the deep vacuum, being determined by the separation of the two
Weyl points. Both terms are obtained using the Adler-Bell-Jackiw equation for
chiral anomaly, and both agree with the results of the microscopic calculations
in the "trans-Planckian" region. Existence of the two nonequivalent forms of
the Chern-Simons term demonstrates that the results obtained within the RQFT
depend on the specific properties of the underlying quantum vacuum and may
reflect different physical phenomena in the same vacuum.
