Magnetic Catalysis of Chiral Symmetry Breaking in QED at Finite Temperature
Valery P. Gusynin
Abstract
The catalysis of chiral symmetry breaking by a magnetic field in the massless weak-coupling phase of QED is studied. The dynamical mass of a fermion (energy gap in the fermion spectrum) is shown to depend essentially nonanalytically on the renormalized coupling constant α in a strong magnetic field. The temperature of the symmetry restoration is calculated analytically as Tc≈ mdyn, where mdyn is the dynamical mass of a fermion at zero temperature.
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