A Brownian Particle and Fields II: Radiation Reaction as an Application

Radiation reaction has been investigated traditionally in classical dynamics and recently in non-linear QED for high-intensity field physics by high-intensity lasers. The non-linearity of QED is predicted as the coupling between a highly energetic electron and its radiation. However, the applicable range of external fields in the previous method of the Furry picture is just the case of a plane wave. In this Volume II, we aim the generalization of this applicable range by using the stochastic scalar electron model introduced in Volume I. We discuss the formulation of radiation reaction acting on a stochastic scalar electron and show the origin of this non-linearity correction in general conditions.