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) |
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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