Two Dimensional Black Hole Evapolation in the Light-Cone Gauge

TL;DR

This paper investigates the quantization of 1+1 dimensional dilaton gravity in the light-cone gauge, revealing a conformal field theory structure and analyzing black hole singularities in semiclassical regimes.

Contribution

It demonstrates that the total action forms a c=0 conformal field theory in the light-cone gauge and examines the persistence of black hole singularities semiclassically.

Findings

Total action yields a c=0 conformal field theory without modifying the classical action.

Black hole singularity persists for N<24 scalar fields in semiclassical analysis.

Semiclassical analysis breaks down for small N, indicating limitations of the approach.

Abstract

Quantization of the pure $1+1$ dimensional dilaton gravity is examined in the light-cone gauge. It is found that the total action including ghosts generates a $c=0$ free conformal field theory without modification of the classical action, which is required in the conformal gauge. We also study semiclassical equations of the dilaton gravity coupled to $N$ scalar fields. It is shown that the black hole singularity is not removed even for $N<24$ in the light-cone gauge. This indicates that the semiclassical analysis breaks down for small $N$.