### 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 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### 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

**Chiral asymmetry and axial anomaly in magnetized relativistic matter.** / Gorbar, E. V.; Miransky, V. A.; Shovkovy, Igor.

Research output: Contribution to journal › Article

*Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 695, no. 1-4, pp. 354-358. https://doi.org/10.1016/j.physletb.2010.11.022

}

TY - JOUR

T1 - Chiral asymmetry and axial anomaly in magnetized relativistic matter

AU - Gorbar, E. V.

AU - Miransky, V. A.

AU - Shovkovy, Igor

PY - 2011/1/10

Y1 - 2011/1/10

N2 - 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.

AB - 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.

KW - Axial anomaly

KW - Axial current

KW - Chiral asymmetry

KW - Dense relativistic matter

KW - Magnetic field

UR - http://www.scopus.com/inward/record.url?scp=78650310198&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=78650310198&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2010.11.022

DO - 10.1016/j.physletb.2010.11.022

M3 - Article

AN - SCOPUS:78650310198

VL - 695

SP - 354

EP - 358

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

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

SN - 0370-2693

IS - 1-4

ER -