Quantum Dilaton Gravity in the Light-cone Gauge

TL;DR

This paper demonstrates that two-dimensional dilaton gravity models exhibit consistent black-hole solutions and Hawking radiation in the light-cone gauge, extending semi-classical analysis and quantization methods to this gauge.

Contribution

It shows that classical and semi-classical black-hole solutions in dilaton gravity are preserved in the light-cone gauge and introduces a framework for quantizing matter and metric fields together.

Findings

Same black-hole solutions in light-cone and conformal gauges

Quantization of matter fields extended to include metric quantization

Potential new approach to black-hole physics issues

Abstract

Recently, models of two-dimensional dilaton gravity have been shown to admit classical black-hole solutions that exhibit Hawking radiation at the semi-classical level. These classical and semi-classical analyses have been performed in conformal gauge. We show in this paper that a similar analysis in the light--cone gauge leads to the same results. Moreover, quantization of matter fields in light--cone gauge can be naturally extended to include quantizing the metric field {\it \`a la} KPZ. We argue that this may provide a new framework to address many issues associated to black-hole physics.