# Loop Quantum Gravity

@article{Rovelli1998LoopQG, title={Loop Quantum Gravity}, author={Carlo Rovelli}, journal={Living Reviews in Relativity}, year={1998}, volume={1} }

AbstractThe problem of finding the quantum theory of the gravitational field, and thus understanding what is quantum spacetime, is still open. One of the most active of the current approaches is loop quantum gravity. Loop quantum gravity is a mathematically well-defined, non-perturbative and background independent quantization of general relativity, with its conventional matter couplings. Research in loop quantum gravity today forms a vast area, ranging from mathematical foundations to physical…

## 608 Citations

Loop Quantum Gravity and planck Scale Phenomenology

- Physics
- 2005

Of the different approaches to quantum gravity, the best developed, from the point of view of addressing the key theoretical questions a quantum theory of gravity must answer, is loop quantum…

Quantum dyanmics of loop quantum gravity

- Physics
- 2007

In the last 20 years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. The aim of loop quantum gravity is to…

FUNDAMENTAL STRUCTURE OF LOOP QUANTUM GRAVITY

- Physics
- 2007

In the recent twenty years, loop quantum gravity, a background independent approach to unify general relativity and quantum mechanics, has been widely investigated. The aim of loop quantum gravity is…

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…

Coupling matter to loop quantum gravity

- Physics
- 2005

Motivated by recent proposals on the experimental detectability of quantum gravity effects, the present thesis investigates assumptions and methods which might be used for the prediction of such…

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…

An invitation to loop quantum gravity

- Physics
- 2004

We describe the basic assumptions and key results of loop quantum gravity, which is a background independent approach to quantum gravity. The emphasis is on the basic physical principles and how one…

Lectures on Loop Quantum Gravity

- Physics
- 2002

AbstractQuantum General Relativity (QGR), sometimes called Loop Quantum Gravity, has matured overthe past ﬁfteen years to a mathematically rigorous candidate quantum ﬁeld theory of the gravita-tional…

An Introduction to Loop Quantum Gravity with Application to Cosmology

- Physics
- 2014

The development of a quantum theory of gravity has been ongoing in the theoretical physics community for about 80 years, yet it remains unsolved. In this dissertation, we review the loop quantum…

Quantum Computation Toward Quantum Gravity

- Physics
- 2001

The aim of this paper is to enlighten the emerging relevance of Quantum Information Theory in the field of Quantum Gravity. As it was suggested by J. A. Wheeler, information theory must play a…

## References

SHOWING 1-10 OF 339 REFERENCES

QSD V : Quantum Gravity as the Natural Regulator of Matter Quantum Field Theories

- Physics
- 1997

It is an old speculation in physics that, once the gravitational field is successfully quantized, it should serve as the natural regulator of infrared and ultraviolet singularities that plague…

Quantum spin dynamics (QSD) V: Quantum Gravity as the natural regulator of the Hamiltonian constraint of matter quantum field theories

- Physics
- 1998

It is an old speculation in physics that, once the gravitational field is successfully quantized, it should serve as the natural regulator of infrared and ultraviolet singularities that plague…

A Generally covariant quantum field theory and a prediction on quantum measurements of geometry

- Physics
- 1993

Quantum theory of geometry: I. Area operators

- Mathematics
- 1996

A new functional calculus, developed recently for a fully non-perturbative treatment of quantum gravity, is used to begin a systematic construction of a quantum theory of geometry. Regulated…

Counting surface states in the loop quantum gravity

- Physics
- 1996

We adopt the point of view that (Riemannian) classical and (loopbased) quantum descriptions of geometry are macroand micro-descriptions in the usual statistical mechanical sense. This gives rise to…

The Bekenstein Bound, Topological Quantum Field Theory and Pluralistic Quantum Field Theory

- Physics
- 1995

An approach to quantum gravity and cosmology is proposed based on a synthesis of four elements: 1) the Bekenstein bound and the related holographic hypothesis of 't Hooft and Susskind, 2) topological…

On Quantum Statistical Mechanics of a Schwarzschild Black Hole

- Physics
- 1996

Quantum theory of geometry, developed recently in the framework of non-perturbative quantum gravity, is used in an attempt to explain thermodynamics of Schwarzschild black holes on the basis of a…

Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics

- Physics
- 1994

In this book, Robert Wald provides a pedagogical introduction to the formulation of quantum field theory in curved spacetime. He begins with a treatment of the ordinary one-dimensional quantum…

The Bekenstein bound, topological quantum field theory and pluralistic quantum cosmology

- Physics
- 1995

The Bekenstein bound, topological quantum field theory and pluralistic quantum cosmology ABSTRACT An approach to quantum gravity and cosmology is proposed based on a synthesis of four elements: 1)…