Two Dimensional Quantum Gravity Coupled to Matter

TL;DR

This paper quantizes a classical 2D gravity model coupled with matter using conformal field theory, revealing features like black holes and a Newtonian limit, and explores how the critical dimension varies with Newton's constant.

Contribution

It introduces a quantum formulation of 2D gravity with matter, analyzing the constraint algebra and scaling, and shows the critical dimension depends on Newton's constant.

Findings

Model exhibits black holes and gravitational collapse

Critical dimension varies with Newton's constant

Constraint algebra and scaling properties are computed

Abstract

A classical two dimensional theory of gravity which has a number of interesting features (including a Newtonian limit, black holes and gravitational collapse) is quantized using conformal field theoretic techniques. The critical dimension depends upon Newton's constant, permitting models with $d=4$. The constraint algebra and scaling properties of the model are computed.