Is there a maximum magnetic field in QED

@article{Leung2009IsTA,
  title={Is there a maximum magnetic field in QED},
  author={Chung Ngoc Leung and Shangyun Wang},
  journal={Physics Letters B},
  year={2009},
  volume={674},
  pages={344-347}
}
Abstract 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… 

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