Chiral Symmetry Breaking in the weakly coupled QED in a Magnetic Field
Igor A. Shovkovy
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 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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