Chiral asymmetry and axial anomaly in magnetized relativistic matter
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 ∆, leading to a relative shift of the longitudinal momenta in the dispersion relations of opposite chirality fermions. In the NambuJonaLasinio model, it is shown directly from the form of the gap equation that ∆ necessarily exists in the normal phase in a magnetic field. By making use of the gauge invariant pointsplitting regularization, we then show that the presence of ∆ essentially modifies the form of the axial current, but does not affect the conventional axial anomaly relation. By recalculating the axial current with the propertime regularization, we conclude that the result is robust with respect to a specific regularization scheme used.
 Publication:

Physics Letters B
 Pub Date:
 January 2011
 DOI:
 10.1016/j.physletb.2010.11.022
 arXiv:
 arXiv:1009.1656
 Bibcode:
 2011PhLB..695..354G
 Keywords:

 High Energy Physics  Phenomenology;
 High Energy Physics  Theory;
 Nuclear Theory
 EPrint:
 7 pages, published version: several refferences added and discussions extended