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Chiral Symmetry Breaking in the weakly coupled QED in a Magnetic Field

Igor A. Shovkovy
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Abstract

The catalysis of chiral symmetry breaking in the massless weakly coupled QED in a magnetic field is studied. It is shown that the effect is due to the dimensional reduction $D\to D-2$ in the dynamics of fermion pairing in a magnetic field. The dynamical mass of fermions (energy gap in the fermion spectrum) is determined. The temperature of the symmetry restoration is estimated analytically.

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Igor A. Shovkovy. 1997-09-15. Chiral Symmetry Breaking in the weakly coupled QED in a Magnetic Field. https://arxiv.org/abs/hep-ph/9709340

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