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- Title
On the chiral magnetic effect in Weyl superfluid He-A.
- Authors
Volovik, G.
- Abstract
In the theory of the chiral anomaly in relativistic quantum field theories (RQFTs), some results depend on a regularization scheme at ultraviolet. In the chiral superfluid He-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 He-A in the 1990s [1]. 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 in momentum space. 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.
- Subjects
QUANTUM field theory; SUPERFLUIDITY; WEYL groups; ULTRAVIOLET radiation; CHIRALITY of nuclear particles; MATHEMATICAL regularization
- Publication
JETP Letters, 2017, Vol 105, Issue 1, p34
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/S0021364017010076