Some exact results on the CGHS black-hole radiation

TL;DR

This paper presents exact theorems on massless scalar particle emission from CGHS black holes, analyzing particle creation, infrared effects, and non-thermal states near the horizon.

Contribution

It provides new rigorous results on particle emission, including bounds and asymptotic behaviors, and explores the impact of state localization on thermal emission.

Findings

Mean number of particles depends on infrared behavior.

Bound and asymptotic forms near horizon and far from black hole.

Some states produce non-thermal radiation close to the horizon.

Abstract

Theorems on the emission of massless scalar particles by the CGHS black hole are presented. The convergence of the mean number of particles created spontaneously in an arbitrary state is studied and shown to be strongly dependent on the infrared behavior of this state. A bound for this quantity is given and its asymptotic forms close to the horizon and far from the black hole are investigated. The physics of a wave packet is analysed in some detail in the black-hole background. It is also shown that for some states the mean number of created particles is not thermal close to the horizon. These states have a long queue extending far from the black hole, or are unlocalised in configuration space.