QED_2 in Curved Backgrounds

TL;DR

This paper explores two-dimensional quantum electrodynamics in curved spacetime, revealing new solutions, analyzing fermion-black hole scattering, and discussing confinement, entanglement entropy, and Hawking radiation in black hole backgrounds.

Contribution

It introduces novel quantum solutions in curved backgrounds and examines their implications for confinement and black hole physics.

Findings

Discovery of new quantum mechanical solutions in curved spacetime

Analysis of fermion scattering in black hole backgrounds

Insights into entanglement entropy and Hawking radiation effects

Abstract

Here we discuss the two dimensional quantum electrodynamics in curved space-time, especially in the background of some black holes. We first show the existence of some new quantum mechanical solution which has interesting properties. Then for some special black holes we discuss the fermion-black hole scattering problem. The issue of confinement is intimately connected with these solutions and we also comment on this in this background. Finally, the entanglement entropy and the Hawking radiation are also discussed in this background from a slightly different viewpoint.