Electrostatic self-energy in QED_2 on curved background

TL;DR

This paper investigates how curved spacetime geometry influences the electrostatic self-energy of a test charge in two-dimensional quantum electrodynamics, highlighting effects near black hole horizons and the connection to charge confinement.

Contribution

It analyzes the impact of spacetime curvature on electrostatic self-energy and explores the ultraviolet behavior of the gauge field propagator in QED_2.

Findings

Geometry affects electrostatic self-energy near black hole horizons

Ultraviolet behavior of the gauge propagator relates to charge confinement

Self-energy varies with regions of strong and weak curvature

Abstract

By considering the vacuum polarization, we study the effects of geometry on electrostatic self--energy of a test charge near the black hole horizon and also in regions with strong and weak curvature in static two dimensional curved backgrounds. We also discuss the relation of ultraviolet behavior of the gauge field propagator and charge confinement.