On the chiral magnetic effect in Weyl superfluid 3He-A
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 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 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.
- Publication:
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Soviet Journal of Experimental and Theoretical Physics Letters
- Pub Date:
- January 2017
- DOI:
- 10.1134/S0021364017010076
- arXiv:
- arXiv:1611.06803
- Bibcode:
- 2017JETPL.105...34V
- Keywords:
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- Condensed Matter - Other Condensed Matter;
- High Energy Physics - Phenomenology
- E-Print:
- 5 pages, 1 figure