A Note on the Perturbative Expansion of the Schwinger Model on $S^2$

TL;DR

This paper investigates the perturbative expansion of the Schwinger model on a spherical surface, demonstrating that quantum corrections align with those from the exact solution, thus providing insights into its quantum structure.

Contribution

It presents an analysis of the perturbative structure of the Schwinger model on $S^2$, showing consistency with the exact solution's expansion.

Findings

Quantum corrections match the exact solution's expansion.

Perturbative analysis confirms the model's solvability on $S^2$.

Provides a framework for studying QFTs on curved surfaces.

Abstract

The Schwinger model is perhaps the simplest non-trivial exactly-solvable QFT. In this note we examine the perturbative structure of the theory on the sphere and show that its quantum corrections match those predicted by the expansion of the exact solution.