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.
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- Chiral Asymmetry in QED Matter in a Magnetic Field
- Shovkovy, Igor (Author)
- Wang, Xinyang (Author)
- Miransky, V. A. (Author)
- Gorbar, E. V. (Author)
- College of Integrative Sciences and Arts (Contributor)
- Digital object identifier: 10.1103/PhysRevD.88.025043
- Identifier TypeInternational standard serial numberIdentifier Value1088-6826
- Identifier TypeInternational standard serial numberIdentifier Value0002-9939
- Copyright (2013) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics. along with the following message: The following article appeared in (Physical Review D, 88(2)) and may be found at (http://journals.aps.org/prd/abstract/10.1103/PhysRevD.88.025043), opens in a new window.
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Gorbar, E. V., Miransky, V. A., Shovkovy, I. A., & Wang, X. (2013). Chiral asymmetry in QED matter in a magnetic field. Physical Review D, 88(2), 025043. doi:10.1103/PhysRevD.88.025043