Explicit gauge invariant quantization of the Schwinger model on a circle in the functional Schr\"odinger representation

TL;DR

This paper explicitly solves the Schwinger model on a circle using the functional Schrödinger representation, providing ground state solutions, Hilbert space structure, and bosonization formulas.

Contribution

It introduces an explicit gauge-invariant quantization method for the Schwinger model on a circle within the functional Schrödinger framework, including ground state and bosonization.

Findings

Explicit ground state functionals derived

Hilbert space structure characterized

Bosonization formulas established

Abstract

We solve the Schwinger model on a circle by first finding the explicit groundstate functional(s). Having done this, we give the structure of the Hilbert space and derive bosonization formulae in this formalism.