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

TL;DR

This paper investigates 1+1 dimensional QED using light-front numerical methods, analyzing confinement, charge screening, and the structure of bound states, revealing how states evolve and decay with particle separation.

Contribution

It introduces a numerical analysis of bound states and screening effects in 1+1D QED within the light-front framework, including wavefunction and state evolution insights.

Findings

Determined string tension from wavefunctions of two-parton states.

Identified that four-parton states are composed of weakly interacting $f\bar{f}$ pairs.

Showed that separated fermion-antifermion pairs decay into multiparton states depending on separation.

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.