# Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity ∗

@article{Corichi2005BibliographyOP, title={Bibliography of Publications related to Classical Self-dual variables and Loop Quantum Gravity ∗}, author={Alejandro Corichi and A. Hauser}, journal={arXiv: General Relativity and Quantum Cosmology}, year={2005} }

This bibliography attempts to give a comprehensive overview of all the literature related to what is known as the Ashtekar- Sen connection and the Rovelli-Smolin loop variables, from which the program currently known as Loop Quantum Gravity emerged. The original version was compiled by Peter Hubner in 1989, and it has been subsequently updated by Gabriela Gonzalez, Bernd Brugmann, Monica Pierri, Troy Schilling, Christopher Beetle, Alejandro Corichi and Alberto Hauser. The criteria for inclusion…

## 9 Citations

### The Barbero–Immirzi Parameter: An Enigmatic Parameter of Loop Quantum Gravity

- PhysicsPhysics
- 2022

The Barbero–Immirzi parameter, (γ), is introduced in loop quantum gravity (LQG), whose physical significance is still the biggest open question because of its profound traits. In some cases, it is…

### Loop Quantum Cosmology

- PhysicsLiving reviews in relativity
- 2005

Quantum gravity is expected to be necessary in order to understand situations where classical general relativity breaks down. In particular in cosmology one has to deal with initial singularities,…

### Loop Quantum Cosmology

- PhysicsLiving reviews in relativity
- 2008

L loop quantum cosmology is an application of loop quantum gravity to homogeneous systems, which removes classical singularities and introduces the main effects of quantum effects into effective classical equations, which allow one to avoid the interpretational problems of quantum theory.

### Quantum Gravity: Motivations and Alternatives

- Physics, Philosophy
- 2009

The mutual conceptual incompatibility between General Relativity and Quantum Mechanics / Quantum Field Theory is generally seen as the most essential motivation for the development of a theory of…

### String Theory: Nomological Unification and the Epicycles of the Quantum Field Theory Paradigm

- Physics
- 2011

String Theory is the result of the conjunction of three conceptually independent elements: (i) the metaphysical idea of a nomological unity of the forces, (ii) the model-theoretical paradigm of…

### Loop Quantum Gravity: An Inside View

- Physics
- 2007

This is a (relatively) non -- technical summary of the status of the quantum dynamics in Loop Quantum Gravity (LQG). We explain in detail the historical evolution of the subject and why the results…

### Quantum Gravity: Has Spacetime Quantum Properties?

- Physics
- 2009

The conceptual incompatibility between General Relativity and Quantum Mechanics is generally seen as a sufficient motivation for the development of a theory of Quantum Gravity. If - so a typical…

### The dynamics of cosmological scenarios inspired by quantum gravity

- Physics
- 2006

In this thesis we study the dynamics of cosmological scenarios inspired by quantum gravity. Part I investigates novel features of the semi-classical regime of homogeneous and isotropic loop quantum…

### Connections and Loops Within SQC SQC connection quantization SQC loop quantization SQC Ashtekar–Jacobson formulation

- Physics
- 2010

This is an area of SQC where there exists a wide range of possibilities for exploration. Some progress has been made, in which cosmological models were investigated either through a reduction of…

## References

SHOWING 1-10 OF 1,028 REFERENCES

### 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…

### Classical Aspects on the Road to Quantum Gravity: A Study in the Framework of the New Variables

- Physics
- 1994

There has been a lot of progress in the quest for the structure of spacetime since a canonical non-perturbative quantization program for general relativity was set up ten years ago. The crucial ideas…

### How far are we from the quantum theory of gravity

- Physics
- 2003

An assessment is offered of the progress that the major approaches to quantum gravity have made towards the goal of constructing a complete and satisfactory theory. The emphasis is on loop quantum…

### From Metric to Connection. Actions for Gravity, with Generalizations

- Physics
- 1993

The search for a theory of quantum gravity has for a long time been almost fruitless. A few years ago, however, Ashtekar found a reformulation of Hamiltonian gravity, which thereafter has given rise…

### Loop Quantum Gravity and the Meaning of Diffeomorphism Invariance

- Physics
- 1999

This series of lectures gives an introduction to the non-perturbative and background-independent formulation for a quantum theory of gravitation which is called loop quantum gravity. The Hilbert…

### 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…

### Actions for gravity, with generalizations: A Review

- Physics
- 1993

The search for a theory of quantum gravity has for a long time been almost fruitless. A few years ago, however, Ashtekar found a reformulation of Hamiltonian gravity, which thereafter has given rise…

### Vassiliev Invariants and the Loop States in Quantum Gravity

- Mathematics
- 1993

An exposition of Vassiliev invariants is given in terms of the simplest approach to the functional integral construction of link invariants from Chern-Simons theory. This approach gives the top row…

### Mathematical Problems of Quantum Gravity

- Physics
- 1997

This pre-print contains the abstracts of seminars (including key references) presented at the ESI workshop on mathematical problems in quantum gravity held during July and August of 1996.…