2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/51824By 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.12 pages, LatexHigh Energy Physics - Theorytext