Dynamical Chiral Symmetry Breaking by a Magnetic Field in QED

Details Dynamical Chiral Symmetry Breaking by a Magnetic Field in QED Dynamical Chiral Symmetry Breaking by a Magnetic Field in QED

1995-01-16

arxiv.org/abs/hep-ph/9501304v3

Phys.Rev.D52:4747-4751,1995

Physics

High Energy Physics

High Energy Physics - Phenomenology

12 pages, LaTeX. The final journal version (with minor corrections)

Scientific paper

10.1103/PhysRevD.52.4747

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 $m_{dyn}\simeq C\sqrt{eB}\exp\left[-\left(\pi/\alpha\right) ^{1/2}\right]$, where $B$ is the magnetic field, the constant $C$ is of order one and $\alpha=e^2/4\pi$ is the renormalized coupling constant. Possible applications of this effect are discussed.

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