Influence of the strong pulsed laser field at the resonant effects of quantum electrodynamics

The review on the resonant processes of quantum electrodynamics (QED) proceeding in the strong pulsed light fields, realised in modern powerful pulsed lasers is presented. The appearance of resonances in a laser field is one of the fundamental problems of QED in electromagnetic fields. Following QED processes of the second order in the fine structure constant in the pulsed laser field are considered: resonant spontaneous bremsstrahlung by an election scattered by a nucleus, resonant photocreation of electron-positron pairs on a nucleus, and resonant scattering of a lepton by a lepton. The resonant peak's altitude and width are defined by the external pulsed wave properties. It is demonstrated that the resonant cross sections may be several orders of magnitude greater than the corresponding cross sections in the absence of an external field. Results obtained may be experimentally verified, for example, by the scientific facilities at the SLAC National Accelerator Laboratory and FAIR (Facility for Antiproton and Ion Research, Darmstadt. Germany).