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Abstract

This thesis deals with radiative corrections concerning the strong field QED process of nonlinear Compton scattering. A general expression for the corrections due to the polarization operator in a plane wave background field is computed and studied in the so called locally constant field approximation in which the background field is locally treated as a constant crossed field. Also, the high field limit which is the formal limit of having very high laser intensities, while keeping the electron energy constant, of the polarization correction and other coherent corrections is computed. Coherent processes are those that scale with the total time in which an electron is exposed to the background field. For all such coherent corrections to nonlinear Compton Scattering that are of first order in the fine structure constant α, as well as their resummed expression, the high field limit is computed.