Chiral asymmetry in QED matter in a magnetic field

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