Electron Mass Operator in a Strong Magnetic Field and Dynamical Chiral Symmetry Breaking

Abstract

The electron mass operator in a strong magnetic field is calculated. The contribution of higher Landau levels of virtual electrons, along with the ground Landau level, is shown to be essential in the leading log approximation. The effect of the electron dynamical mass generation by a magnetic field is investigated. In a model with N charged fermions, it is shown that some critical number N_{cr} exists for any value of the electromagnetic coupling constant alpha, such that the fermion dynamical mass is generated with a doublet splitting for N < N_{cr}, and the dynamical mass does not arise at all for N > N_{cr}, thus leaving the chiral symmetry unbroken.

4 pages, REVTEX4, 3 figures

References in corpus (3)

• Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED
• Electron mass operator in a strong magnetic field
• QED in a Strong External Magnetic Field: Beyond the Constant Mass Approximation

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