Kinetics of Vacuum Pair Creation in Strong Electromagnetic Fields

We study vacuum particle antiparticle pair production under action of a strong time dependent space homogeneous electric field at the presence of a constant magnetic field. The kinetic equation for fermions and bosons was derived in the framework of the Schwinger mechanism of vacuum tunnelling. We show the enhancement of pair production for fermions (suppression for bosons) with the increasing of the magnetic field as in the case of the constant electromagnetic field. We have constructed closed set of equations, which can be applied to some actual problems with manifestation of strong electromagnetic fields, e.g., it is essential in the framework of the Fluxe Tube Model of QuarkGluon Plasma generation; for describing some cosmological objects and especially because of the planned experiments on creation of subcritical fields in the XFree Electron Laser pulses.