Abstract

AbstractIt is expected that strong electromagnetic fields in QED may lead to destabilization of the vacuum, its decay and spontaneous production of an electron‐positron pair if the strength of the electric field exceeds some threshold. We study the problem within an external field approximation of QED in presence of time‐dependent external fields and define the spontaneous particle creation via the adiabatic limit. We consider some model fields, which we solve analytically or numerically, in order to explain the subtlety of the effect and to recognize problems appearing in its proof. We conclude by characterizing when the effect can exist in a stable way and when it becomes unstable w.r.t. small perturbations. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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