Exact Operator Quantization of a Model of Two-Dimensional Dilaton Gravity

Abstract

Exact operator quantization is perfomed of a model of two-dimensional dilaton gravity in Lorentzian spacetime, classically equivalent to the one proposed by Callan, Giddings, Harvey and Strominger, in the special case with 24 massless matter scalars. This is accomplished by developing a non-linear and non-local quantum canonical transformation of basic interacting fields into a set of free fields, rigorously taking into account the spatially closed boundary condition. The quantized model enjoys conformal invariance and the entire set of physical states and operators are obtained in the BRST formalism. In addition, a rather detailed discussion of the nature of the basic issues for exact treatment of models of quantum gravity is provided.

arXiv comment29 pages, LaTeX, UT-Komaba 93-3

References in corpus (19)

• Evanescent Black Holes
• The Endpoint of Hawking Evaporation
• Are Horned Particles the Climax of Hawking Evaporation?
• Black Hole Evaporation in 1+1 Dimensions
• Liouville Models of Black Hole Evaporation
• BRST Analysis of Physical States for 2D (Super) Gravity Coupled to (Super) Conformal Matter
• Quantization of a Theory of 2d Dilaton Gravity
• Evaporation of Two Dimensional Black Holes
• Scalar-Tensor Quantum Gravity in Two Dimensions
• Hawking Radiation and Back-Reaction
• Quantum Black Holes in Two Dimensions
• Fadeev-Popov Ghosts and 1+1 Dimensional Black Hole Evaporation
• Black Hole Physics from Liouville Theory
• Quantum Theories of Dilaton Gravity
• Quantum Black Holes
• Two-dimensional dilaton gravity in a unitary gauge
• Exactly Solvable Models of 2d Dilaton Quantum Gravity
• Quantum Theory of Dilaton Gravity in 1+1 Dimensions
• Remarks on the BRST-cohomology for $c_M>1$ matter coupled to ``Liouville gravity"

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• Coined quantum walks on percolation graphs
• Three routes to the exact asymptotics for the one-dimensional quantum walk
• Recurrence of biased quantum walks on a line
• Open Quantum Walks: a short introduction
• The meeting problem in the quantum random walk
• Quantum transport on two-dimensional regular graphs
• Two-loop Back-reaction in 2D Dilaton Gravity
• Hawking Radiation and Back-Reaction in a Unitary Theory of 2D Quantum Gravity
• Free fields via canonical transformations of matter-coupled 2D dilaton gravity models
• A Unified Approach to Solvable Models of Dilaton Gravity in Two-Dimensions Based on Symmetry
• Unitary Theory of Evaporating 2D Black Holes
• Quantum Gravity near Apparent Horizon and Two Dimensional Dilaton Gravity
• Space-time Geometry in Exactly Solvable Quantum Dilaton Gravity
• A Quantum Model of Schwarzschild Black Hole Evaporation
• Extraction of Black Hole Geometry in Exactly Quantized Two Dimensional Dilaton Gravity
• Lessons of Quantum 2D Dilaton Gravity
• Baby universes and energy (non-)conservation in (1+1)-dimensional dilaton gravity
• The No-Hair Conjecture in 2D Dilaton Supergravity
• Free Fields for Chiral 2D Dilaton Gravity
• Canonical Structure of 2D Black Holes
• Cosmological Model in 2d Dilaton Gravity