# Charged Boundary States in the Schwinger Model

## TL;DR

This paper investigates the Schwinger model on an interval, revealing that it admits charged boundary states and calculating their masses, which could have implications for understanding confinement and boundary effects in QCD.

## Contribution

It demonstrates that the Schwinger model admits charged boundary states on an interval, a novel finding in a confining and exactly solvable 1+1D QED model.

## Key findings

- Charged boundary states exist in the Schwinger model on an interval.
- The mass of these boundary states is explicitly calculated.
- Potential implications for boundary phenomena in QCD.

## Abstract

QED in 1+1 dimensions possesses two rare and interesting properties - It is both exactly solvable and confining. The combination of these two properties makes it the perfect candidate for a toy model for QCD. We study this model on an interval, where new features of the theory are revealed. We show that on an interval, the model admits charged states, which is unexpected for a confining theory. We show that the charged states are boundary states, and calculate their mass. This result could lead one to expect a similar result in QCD, where single quarks could be isolated near a boundary.