Electrostatic self-energy and Bekenstein entropy bound in the massive Schwinger model

TL;DR

This paper investigates the electrostatic self-energy of charges near black holes within the massive Schwinger model and explores how vacuum polarization affects the Bekenstein entropy bound, revealing deviations from the massless case.

Contribution

It introduces the calculation of electrostatic energy in the massive Schwinger model near black holes and analyzes the impact of vacuum polarization on the Bekenstein bound.

Findings

Vacuum polarization alters the entropy and Bekenstein bound in the massive Schwinger model.

The electrostatic energy of charges near black holes is computed within this model.

Differences from the massless case are highlighted in the entropy bounds.

Abstract

We obtain the electrostatic energy of two opposite charges near the horizon of stationary black-holes in the massive Schwinger model. Besides the confining aspects of the model, we discuss the Bekenstein entropy upper bound of a charged object using the generalized second law. We show that despite the massless case, in the massive Schwinger model the entropy of the black hole and consequently the Bekenstein bound are altered by the vacuum polarization.