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

Physics – High Energy Physics – High Energy Physics - Phenomenology

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6 pages. REVTeX. The talk given at the International Workshop "Mathematical Physics - today, Priority Technologies -- for tomo

Scientific paper

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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