Chiral asymmetry in QED matter in a magnetic field

Abstract

We calculate the electron self-energy in a magnetized QED plasma to the leading perturbative order in the coupling constant and to the linear order in an external magnetic field. We find that the chiral asymmetry of the normal ground state of the system is characterized by two new Dirac structures. One of them is the familiar chiral shift previously discussed in the Nambu--Jona-Lasinio model. The other structure is new. It formally looks like that of the chiral chemical potential but is an odd function of the longitudinal component of the momentum, directed along the magnetic field. The origin of this new parity-even chiral structure is directly connected with the long-range character of the QED interaction. The form of the Fermi surface in the weak magnetic field is determined.

11 pages, 2 figures: ; version 2: final version published in Physical Review D

References in corpus (4)

• The Chiral Magnetic Effect
• Charge separation induced by P-odd bubbles in QCD matter
• Chiral asymmetry of the Fermi surface in dense relativistic matter in a magnetic field
• Chiral asymmetry and axial anomaly in magnetized relativistic matter

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• Pionic dispersion relations in the presence of a weak magnetic field
• Quantum oscillations as a probe of interaction effects in Weyl semimetals in a magnetic field
• Kicks of magnetized strange quark stars induced by anisotropic emission of neutrinos
• SU(2) low energy quark effective couplings in weak external magnetic field
• Chiral crystallization in an external magnetic background - Chiral spiral versus Real kink crystal -
• The fermion self-energy and damping rate in a hot magnetized plasma
• Chiral spiral induced by a strong magnetic field
• Chiral asymmetry in cold QED plasma in a strong magnetic field
• Fermion self-energy in magnetized chirally asymmetric QED matter
• Photon emission from weakly magnetized neutral pions