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Kuznetsov AV, Mikheev NV. Electron mass operator in a strong magnetic field and dynamical chiral symmetry breaking. Phys Rev Lett. 2002;89(1):011601doi: 10.1103/PhysRevLett.89.011601.
Kuznetsov, A. V., & Mikheev, N. V. (2002). Electron mass operator in a strong magnetic field and dynamical chiral symmetry breaking. Physical review letters, 89(1), 011601. https://doi.org/10.1103/PhysRevLett.89.011601
Kuznetsov, A V, and Mikheev, N V. "Electron mass operator in a strong magnetic field and dynamical chiral symmetry breaking." Physical review letters vol. 89,1 (2002): 011601. doi: https://doi.org/10.1103/PhysRevLett.89.011601
Kuznetsov AV, Mikheev NV. Electron mass operator in a strong magnetic field and dynamical chiral symmetry breaking. Phys Rev Lett. 2002 Jul 01;89(1):011601. doi: 10.1103/PhysRevLett.89.011601. Epub 2002 Jun 17. PMID: 12097029.
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Phys Rev Lett. 2002 Jul 01;89(1):011601. doi: 10.1103/PhysRevLett.89.011601. Epub 2002 Jun 17.

Electron mass operator in a strong magnetic field and dynamical chiral symmetry breaking.

Physical review letters

A V Kuznetsov, N V Mikheev

Affiliations

  1. Division of Theoretical Physics, Department of Physics, Yaroslavl State University, Sovietskaya 14, 150000 Yaroslavl, Russian Federation. [email protected]

PMID: 12097029 DOI: 10.1103/PhysRevLett.89.011601

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 NN(cr), thus leaving the chiral symmetry unbroken.

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