The Superscattering Matrix for Two Dimensional Black Holes

TL;DR

This paper presents a semi-classical calculation of the superscattering operator in a 2D black hole model, showing conditions under which quantum coherence is preserved or lost based on energy flux.

Contribution

It provides the first consistent Euclidean semi-classical analysis of the superscattering operator in the RST model, highlighting CPT invariance and coherence loss thresholds.

Findings

Superscattering operator is CPT invariant.

Quantum coherence is preserved below a critical energy flux.

Complete coherence loss occurs at the critical flux.

Abstract

A consistent Euclidean semi classical calculation is given for the superscattering operator $\$ $ in the RST model for states with a constant flux of energy. The $\$ $ operator is CPT invariant. There is no loss of quantum coherence when the energy flux is less than a critical rate and complete loss when the energy flux is critical.