Helical magnetic effect and the chiral anomaly

In the presence of the fluid helicity v·ω, the magnetic field induces an electric current of the form j=CHME(v·ω)B. This is the helical magnetic effect (HME). We show that for massless Dirac fermions with charge e=1, the transport coefficient CHME is fixed by the chiral anomaly coefficient C=1/(2π2) as CHME=C/2 independently of interactions. We show the conjecture that the coefficient of the magnetovorticity coupling for the local vector charge, n=CBωB·ω, is related to the chiral anomaly coefficient as CBω=C/2. We also discuss the condition for the emergence of the helical plasma instability that originates from the HME.