Canonical Commutation Relations in The Schwinger Model

TL;DR

This paper presents the first operator solution to the Schwinger model that satisfies canonical commutation relations within a covariant gauge, advancing the understanding of quantum field theory in lower dimensions.

Contribution

It provides a novel operator solution to the Schwinger model that maintains canonical commutation relations in a covariant gauge, which was not previously achieved.

Findings

Operator solution obeys canonical commutation relations

Solution is covariant

Advances understanding of quantum field theory in 2D

Abstract

We give the first operator solution of the Schwinger model that obeys the canonical commutation relations in a covariant guage.