Hawking temperature from scattering off the charged 2D black hole

TL;DR

This paper investigates the scattering of tachyon waves off a charged 2D black hole, deriving the Hawking temperature from scattering data and confirming consistency with known results in the uncharged limit.

Contribution

It introduces an approximate potential for scattering analysis and derives the Hawking temperature from reflection coefficients in the charged 2D black hole context.

Findings

Reflection and transmission coefficients calculated for tachyon scattering.

Hawking temperature derived from scattering data using Bogoliubov transformation.

Results reduce to known 2D dilaton black hole temperature as charge approaches zero.

Abstract

The charged 2D black hole is visualized as presenting an potential barrier $V^{OUT}(r^*)$ to on-coming tachyon wave. Since this takes the complicated form, an approximate form $V^{APP}(r^*)$ is used for scattering analysis. We calculate the reflection and transmission coefficients for scattering of tachyon off the charged 2D black hole. The Hawking temperature is also derived from the reflection coefficient by Bogoliubov transformation. In the limit of $Q \to 0$, we recover the Hawking temperature of the 2D dilaton black hole.