Dirac Quantization of Two-Dimensional Dilaton Gravity Minimally Coupled to N Massless Scalar Fields

TL;DR

This paper demonstrates a consistent Dirac quantization of the Callan-Giddings-Harvey-Strominger 2D dilaton gravity model coupled to N massless scalars, without restrictions on coupling or cosmological constant signs.

Contribution

It provides the first consistent Dirac quantization of the CGHS model on a cylindrical spacetime without sign restrictions.

Findings

Quantum constraints derived in original geometrical variables

Quantization valid for arbitrary signs of coupling and cosmological constant

No additional constraints needed for consistent quantization

Abstract

It is shown that the Callan-Giddings-Harvey-Strominger theory on the cylinder can be consistently quantized (using Dirac's approach) without imposing any constraints on the sign of the gravitational coupling constant or the sign (or value) of the cosmological constant. The quantum constraints in terms of the original geometrical variables are also derived.