Kinetics of Vacuum Pair Creation in Strong Electromagnetic Fields

We study particle - antiparticle pair production under action of a strong time dependent space homogeneous electric field at the presence of a collinear constant magnetic field. We derive the kinetic equation for a such field configuration for fermions and bosons in the framework of the Schwinger mechanism of vacuum tunneling. We show the enhancement of pair production for fermions 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 Flux Tube Model of Quark - Gluon Plasma generation; for describing some cosmological objects and especially because of the planned experiments on creation of subcritical fields in the X-Free Electron Laser pulses.