THE ELECTRON-SCATTERING AND GRAVITON PHOTOPRODUCTION IN EXTERNAL ELECTROMAGNETIC-FIELDS

Starting from the principle of minimal coupling in Quantum Electrodyna mics and Quantum Gravity and using the Feynman diagram technique, the processes of Dirac particle scattering and photon-graviton transformat ion in external electromagnetic fields (homogeneous electrostatic or m agnetostatic fields and electric- or magnetic-dipole fields) are studi ed. A remarkable analogy between the cross-sections of Dirac-particle scattering and graviton photoproduction is noticed. The results for th e latter type of processes are in agreement in some peculiar cases wit h those obtained by other authors in a different manner. According to our knowledge, the previous papers in this field did not studied the p rocess of photoproduction of gravitons in the field of an electric dip ole. We believe that this process exists, while the emission of gravit ational waves appears in this case only as a quantum effect.