The dynamics of charged particles in electromagnetic fields is an essential component of understanding the most extreme environments in our Universe. In electromagnetic fields of sufficient magnitude, radiation emission dominates the particle motion and effects of nonlinear quantum electrodynamics (QED) are crucial, which triggers electron-positron pair cascades and counterintuitive particle-trapping phenomena. As a result of recent progress in laser technology, high-power lasers provide a platform to create and probe such fields in the laboratory. With new large-scale laser facilities on the horizon and the prospect of investigating these hitherto unexplored regimes, we review the basic physical processes of radiation reaction and QED in strong fields, how they are treated theoretically and in simulation, the new collective dynamics they unlock, recent experimental progress and plans, as well as possible applications for high-flux particle and radiation sources.
CONTENTS42 VI. Applications 43 A. Radiation generation 43 1. Electron-beam driven radiation sources 43 2. Laser-driven radiation sources 44 B. Positron sources 46 C. Polarized particle beams 46 D. Ion acceleration 47 VII. Outlook 48 A. Open questions 48 1. Theoretical questions 48 2. Simulation developments 49 B. Experimental programs 50 VIII. Conclusions 50 Acknowledgments 51 List of commonly used symbols 51 References 52