Projects per year

### 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 ^{3}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 ^{3}He-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.

Original language | English |
---|---|

Pages (from-to) | 34–37 |

Number of pages | 4 |

Journal | JETP Letters |

Volume | 105 |

Issue number | 1 |

Early online date | 6 Jan 2017 |

DOIs | |

Publication status | Published - Jan 2017 |

MoE publication type | A1 Journal article-refereed |

## Fingerprint Dive into the research topics of 'On chiral magnetic effect in Weyl superfluid <sup>3</sup>He-A'. Together they form a unique fingerprint.

## Projects

## TOPVAC: From Topological Matter to Relativistic Quantum Vacuum

Volovik, G., Nissinen, J., Eltsov, V., Zhang, K., Rysti, J., Volard, M., Laurila, S. & Rantanen, R.

01/10/2016 → 31/12/2021

Project: EU: ERC grants

## Centre of Excellence in Low Temperature Quantum Phenomena and Devices

Eltsov, V., Volovik, G., Hietala, N., Mäkinen, J. & Rysti, J.

01/01/2015 → 31/01/2018

Project: Academy of Finland: Other research funding