Is there a maximum magnetic field in QED?
Chung Ngoc Leung, Shang-Yung Wang

TL;DR
This paper challenges the conjecture of a maximum magnetic field in QED, demonstrating through nonperturbative analysis that the vacuum remains stable at all magnetic field strengths.
Contribution
It provides a nonperturbative analysis incorporating effective electron mass and screening effects, disproving the existence of a maximum magnetic field in QED.
Findings
No positronium collapse occurs at high magnetic fields
The magnetized vacuum remains stable for all magnetic field strengths
The conjectured maximum magnetic field does not exist in QED
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 all values of the magnetic field.
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