Massive Schwinger model and its confining aspects on curved space-time

TL;DR

This paper derives the bosonized form of the massive Schwinger model on curved space-time and analyzes its confining properties by calculating the energy of static charges.

Contribution

It presents a covariant regularization method and explicitly discusses the confining behavior of the model on curved backgrounds.

Findings

Energy of static charges computed on curved space-time

Confining behavior confirmed in curved backgrounds

Bosonized action derived using covariant regularization

Abstract

Using a covariant method to regularize the composite operators, we obtain the bosonized action of the massive Schwinger model on a classical curved background. Using the solution of the bosonic effective action, the energy of two static external charges with finite and large distance separation on a static curved space-time is obtained. The confining behavior of this model is also explicitly discussed.