String picture of 1+1 dimensional QED in light--front formulation

Abstract

We study quantum electrodynamics in 1+1 dimensions in the light--front frame using numerical methods. We analyze confinement and charge screening which are key features of this system. By direct analysis of wavefunctions of bound states in two parton sector we determine the string tension. In four parton sector we introduce inclusive distributions and inspect structure of energy eigenstates. We conclude that they are composed of two weakly interacting $f\bar f$ pairs. These four particle states are responsible for the screening. Finally, we study time evolution of a fermion--antifermion state separated by a specific distance. We demonstrate that for sufficient separation it decays into a multiparton state and the number of particles in the product depends on separation of particles.