On chiral magnetic effect in Weyl superfluid 3He-A

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On chiral magnetic effect in Weyl superfluid 3He-A. / Volovik, G. E.

In: JETP Letters, Vol. 105, No. 1, 01.2017, p. 34–37.

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@article{9262cc45dcdd47d2b49b00f21b7a0a15,
title = "On chiral magnetic effect in Weyl superfluid 3He-A",
abstract = "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 [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.",
author = "Volovik, {G. E.}",
note = "| openaire: EC/H2020/694248/EU//TOPVAC",
year = "2017",
month = "1",
doi = "10.1134/S0021364017010076",
language = "English",
volume = "105",
pages = "34–37",
journal = "JETP LETTERS / PISMA V ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI",
issn = "0021-3640",
number = "1",

}

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TY - JOUR

T1 - On chiral magnetic effect in Weyl superfluid 3He-A

AU - Volovik, G. E.

N1 - | openaire: EC/H2020/694248/EU//TOPVAC

PY - 2017/1

Y1 - 2017/1

N2 - 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 [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.

AB - 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 [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.

UR - http://www.scopus.com/inward/record.url?scp=85008500406&partnerID=8YFLogxK

U2 - 10.1134/S0021364017010076

DO - 10.1134/S0021364017010076

M3 - Article

VL - 105

SP - 34

EP - 37

JO - JETP LETTERS / PISMA V ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI

JF - JETP LETTERS / PISMA V ZHURNAL EKSPERIMENTALNOI I TEORETICHESKOI FIZIKI

SN - 0021-3640

IS - 1

ER -

ID: 10515233