Influence of the moderate-strong pulsed laser field at the quantum electrodynamics processes

The review on the quantum electrodynamics (QED) processes proceeding in the moderate-strong pulsed light fields, realized in modern powerful pulsed lasers is presented. Resonant and nonresonant processes of quantum electrodynamics in strong laser fields are considered. Following QED processes of the second order in the fine structure constant in the pulsed laser field are considered: resonant and nonresonant spontaneous bremsstrahlung by an electron scattered by a nucleus, resonant and nonresonant 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).