Pis’ma v ZhETF, vol. 105, iss. 1, pp. 30 – 31 2017 January 10 c On chiral magnetic effect in Weyl superfluid 3He-A G.E.Volovik1) Low Temperature Laboratory, Department of Applied Physics, Aalto University, PO Box 15100, FI-00076 AALTO, Finland Landau Institute for Theoretical Physics RAS, 119334 Moscow, Russia Submitted 22 November 2016 DOI: 10.7868/S0370274X17010076 In relativistic quantum field theories (RQFT) many results crucially depend on the regularization scheme in the high-energy corner (ultraviolet). <...> This especially concerns the effect of chiral anomaly, see, e.g., review [1] and discussion of consistent anomaly vs conventional anomaly in Ref. [2]. <...> We discuss here the effects of chiral anomaly which exist and have been experimentally observed in chiral Weyl superfluid 3He-A. <...> Superfluid 3He-A has two well separatedWeyl points in the fermionic spectrum. <...> Close to the Weyl points, quasiparticles obey the Weyl equation and behave as Weyl fermions, which interact with emergent gauge and gravity fields, see book [3] and references therein, and also recent review on topological superfluids [4]. <...> The anomaly is described by the Adler– Bell–Jackiw equation [5, 6], which has been experimentally verified in experiments with skyrmions in 3He-A [7]. <...> The anomaly also gives rise to the analog of chiral magnetic effect (CME), which has been also experimentally identified in 3He-A [8–11]. <...> The CME is the appearance of the non-dissipative current along the magnetic field due to the chirality imbalance [12, 13]. <...> It is now under investigation in relativistic heavy ion collisions, where strong magnetic fields are created by the colliding ions, see review [14]. <...> The theory of CME also experiences the problems, such as with the choice of the proper ultraviolet cut-off, see e.g. Ref. [15], and the choice of the proper order of limits in the infrared [16]. <...> The chiral fermions 1)e-mail: volovik@boojum.hut.fi culated either using the equations of the microscopic theory (analog of the trans-Planckian physics), or using the spectral flow described by the effective RQFT which emerges in the vicinity of two Weyl points at K± = ±kFˆ l, where ˆ l <...>