General bound-state structure of the massive Schwinger model

TL;DR

This paper derives a comprehensive formula for the bound-state mass spectrum of the massive Schwinger model using Dyson-Schwinger equations, applicable for small fermion masses, and computes the lowest three bound state masses.

Contribution

It introduces a general formula for bound-state masses in the massive Schwinger model derived from Dyson-Schwinger equations, extending previous results.

Findings

Derived a formula for bound-state mass poles

Computed the masses of the three lowest bound states

Applicable for small fermion masses

Abstract

Within the Euclidean path integral and mass perturbation theory we derive, from the Dyson-Schwinger equations of the massive Schwinger model, a general formula that incorporates, for sufficiently small fermion mass, all the bound-state mass poles of the massive Schwinger model. As an illustration we perturbatively compute the masses of the three lowest bound states.