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

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

2002-04-17

arxiv.org/abs/hep-ph/0204201v1

Phys.Rev.Lett. 89 (2002) 011601

Physics

High Energy Physics

High Energy Physics - Phenomenology

4 pages, REVTEX4, 3 figures

Scientific paper

10.1103/PhysRevLett.89.011601

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.

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