# Canonical Quantum Gravity

@article{Kucha1993CanonicalQG, title={Canonical Quantum Gravity}, author={Karel V. Kuchař}, journal={arXiv: General Relativity and Quantum Cosmology}, year={1993} }

This is a review of the aspirations and disappointments of the canonical quantization of geometry. I compare the two chief ways of looking at canonical gravity, geometrodynamics and connection dynamics. I capture as much of the classical theory as I can by pictorial visualization. Algebraic aspects dominate my description of the quantization program. I address the problem of observables. The reader is encouraged to follow the broad outlines and not worry about the technical details.

## 45 Citations

### Loop quantum gravity: an outside view

- Physics
- 2005

We review aspects of loop quantum gravity in a pedagogical manner, with the aim of enabling a precise but critical assessment of its achievements so far. We emphasize that the off-shell (‘strong’)…

### Quantum Gravity Programs

- Physics
- 2017

This chapter introduces the main Quantum Gravity programs to date, with historical inter-connections and various conceptual classifications as follows.
A)
The covariant, canonical and path…

### Background independent quantum gravity: A Status report

- Physics
- 2004

The goal of this review is to present an introduction to loop quantum gravity—a background-independent, non-perturbative approach to the problem of unification of general relativity and quantum…

### 2 00 0 Time in Quantum Geometrodynamics

- Physics
- 2008

We revisit the issue of time in quantum geometrodynamics and suggest a quantization procedure on the space of true dynamic variables. This procedure separates the issue of quantization from enforcing…

### Geometrical Quantization with Nontrivial . ii. Field Theories and GR

- Physics
- 2017

We now extend our treatment of geometrical quantization to the most physically desirable case of field theories exhibiting redundant groups of transformations. Quantum field theory and general…

### Superspace Dynamics Perturbations around “ Emptiness ”

- Physics
- 1993

Superspace parametrized by gauge potentials instead of metric three-geometries is discussed in the context of the Ashtekar variables. Among other things, an " internal clock " for the full theory can…

### Quantum geometrodynamics of the Bianchi IX cosmological model

- Physics
- 2006

The canonical quantum theory of gravity—quantum geometrodynamics (QG)—is applied to the homogeneous Bianchi type IX cosmological model. As a result, a framework for the quantum theory of homogeneous…

### Bibliography of publications related to Classical and Quantum Gravity in terms of Connection and Loop Variables

- Linguistics
- 1997

This bibliography attempts to give a comprehensive overview of all the literature related to the Ashtekar connection and the Rovelli-Smolin loop variables. The original version was compiled by Peter…

### Superspace dynamics and perturbations around 'emptiness'

- Physics
- 1994

Superspace parametrized by gauge potentials instead of metric three-geometries is discussed in the context of the Ashtekar variables. Gauge-fixing conditions which lead to the natural geometrical…

### Gauge Matters

- PhysicsPhilosophy of Science
- 2002

The constrained Hamiltonian formalism is recommended as a means for getting a grip on the concepts of gauge and gauge transformation. This formalism makes it clear how the gauge concept is relevant…