Chiral asymmetry in QED matter in a magnetic field

E. V. Gorbar, V. A. Miransky, Igor Shovkovy, Xinyang Wang

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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.

Original languageEnglish (US)
Article number025043
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume88
Issue number2
DOIs
Publication statusPublished - Jul 24 2013

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ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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