Abstract
QED cascade in an intense laser field can start developing if the electron proper acceleration expressed in Compton units χ becomes of the order of unity. We derive a general formula expressing the quantum dynamical parameter χ(t) of an initially slow electron in an arbitrary electromagnetic field, which is valid for a time range t ≪ 1/ω, where ω is the field carrier frequency. Using this formula, we identify a special field configuration of colliding focused laser beams, which provides cascade production at intensity of the order of 1023W/cm2. Such intensity is believed to become attainable with the new generation of laser facilities, particularly the ELI Beamlines, in the coming years.
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