Is there a maximum magnetic field in QED?

Details Is there a maximum magnetic field in QED? Is there a maximum magnetic field in QED?

2009-01-22

arxiv.org/abs/0901.3413v2

Phys.Lett.B674:344-347,2009

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 2 figures, to appear in Phys. Lett. B

Scientific paper

10.1016/j.physletb.2009.03.039

It was recently conjectured by Shabad and Usov that there exists in QED a maximum magnetic field of 10^{42} G, above which the magnetized vacuum becomes unstable. Using a nonperturbative analysis that consistently incorporates the effective electron mass and the screening effect in a strong magnetic field, we show that the conjectured phenomenon of positronium collapse never takes place. Thus, there does not exist a maximum magnetic field in QED and the magnetized vacuum is stable for all values of the magnetic field.

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