### Abstract

The induced axial current and the chiral anomaly are studied in the normal phase of magnetized relativistic matter. A special attention is paid to the role of the chiral shift parameter Δ, leading to a relative shift of the longitudinal momenta in the dispersion relations of opposite chirality fermions. In the Nambu-Jona-Lasinio model, it is shown directly from the form of the gap equation that Δ necessarily exists in the normal phase in a magnetic field. By making use of the gauge invariant point-splitting regularization, we then show that the presence of Δ essentially modifies the form of the axial current, but does not affect the conventional axial anomaly relation. By recalculating the axial current with the proper-time regularization, we conclude that the result is robust with respect to a specific regularization scheme used.

Original language | English (US) |
---|---|

Pages (from-to) | 354-358 |

Number of pages | 5 |

Journal | Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics |

Volume | 695 |

Issue number | 1-4 |

DOIs | |

State | Published - Jan 10 2011 |

### Keywords

- Axial anomaly
- Axial current
- Chiral asymmetry
- Dense relativistic matter
- Magnetic field

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

## Fingerprint Dive into the research topics of 'Chiral asymmetry and axial anomaly in magnetized relativistic matter'. Together they form a unique fingerprint.

## Cite this

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*,

*695*(1-4), 354-358. https://doi.org/10.1016/j.physletb.2010.11.022