Interacting photon-electron system in 1+1 dimensions

In this talk, I report about a joint project with Shadi Tahvildar-Zadeh and Michael Kiessling about a relativistic interacting photon-electron system in 1+1 dimensions. The governing equations of the model are multi-time equations: TZ&K's new photon equation and the Dirac equation for the electron. Interaction is implemented via boundary conditions at spacetime configurations. This corresponds to relativistic zero-range (delta-)interactions, a mechanism I developed in my dissertation. Time permitting, I furthermore report on a Hypersurface-Bohm-Dirac model based on these wave equations. This allows to study actual photon and electron trajectories.