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arXiv · hep-ph/9501304

Dynamical Chiral Symmetry Breaking by a Magnetic Field in QED

V. P. Gusynin·V. A. Miransky·I. A. Shovkovy
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Abstract

It is shown that the chiral symmetry is spontaneously broken by a constant magnetic field in QED. The dynamical mass of fermions (energy gap in the fermion spectrum) is $m_{dyn}\simeq C\sqrt{eB}\exp\left[-\left(π/α\right) ^{1/2}\right]$, where $B$ is the magnetic field, the constant $C$ is of order one and $α=e^2/4π$ is the renormalized coupling constant. Possible applications of this effect are discussed.

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V. P. Gusynin, V. A. Miransky, I. A. Shovkovy. 1995-11-09. Dynamical Chiral Symmetry Breaking by a Magnetic Field in QED. https://doi.org/10.1103/physrevd.52.4747

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