Canonical Quantization of Non-Einsteinian Gravity and the Problem of Time

Abstract

For a 1+1 dimensional theory of gravity with torsion different approaches to the formulation of a quantum theory are presented. They are shown to lead to the same finite dimensional quantum system. Conceptual questions of quantum gravity like e.g.\ the problem of time are discussed in this framework.

20 pages, LaTeX, TUW9213

References in corpus (3)

• String Model with Dynamical Geometry and Torsion
• Novel Symmetry of Non-Einsteinian Gravity in Two Dimensions
• All Symmetries of Non-Einsteinian Gravity in $d=2$

Cited by in corpus (26)

• Dilaton Gravity in Two Dimensions
• Classical and Quantum Gravity in 1+1 Dimensions, Part I: A Unifying Approach
• Exact Path Integral Quantization of Generic 2-D Dilaton Gravity
• Geometric Interpretation and Classification of Global Solutions in Generalized Dilaton Gravity
• Conserved Quasilocal Quantities and General Covariant Theories in Two Dimensions
• Dirac Quantization Gravity-Yang-Mills Systems in 1+1 Dimensions
• Integrating Geometry in General 2D Dilaton Gravity with Matter
• Effective action and Hawking radiation for dilaton coupled scalars in two dimensions
• The virtual black hole in 2d quantum gravity
• Graded Poisson-Sigma Models and Dilaton-Deformed 2D Supergravity Algebra
• Nonperturbative path integral of 2d dilaton gravity and two-loop effects from scalar matter
• Generalized 2d dilaton gravity with matter fields
• The Complete Solution of 2D Superfield Supergravity from graded Poisson-Sigma Models and the Super Pointparticle
• All Symmetries of Non-Einsteinian Gravity in $d=2$
• Effective action for scalar fields in two-dimensional gravity
• Black holes and thermodynamics - The first half century
• Boundary Conditions and Quasilocal Energy in the Canonical Formulation of All 1+1 Models of Gravity
• Exact Solution of 2D Poincare Gravity Coupled to Fermion Matter
• Classical and Quantum Integrability of 2D Dilaton Gravities in Euclidean space
• Quantization of Field Theories Generalizing Gravity-Yang-Mills Systems on the Cylinder
• Physics-to-gauge conversion at black hole horizons
• Quantization of Two-Dimensional Gravity with Dynamical Torsion
• Linear derivative Cartan formulation of General Relativity
• Asymptotic symmetry and conservation laws in 2d Poincaré gauge theory of gravity
• Generalized Supergravity in Two Dimensions
• Gauge models in modified triplectic quantization