# Background independent quantum gravity: A Status report

@article{Ashtekar2004BackgroundIQ, title={Background independent quantum gravity: A Status report}, author={Abhay Ashtekar and Jerzy Lewandowski}, journal={Classical and Quantum Gravity}, year={2004}, volume={21} }

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 physics, based on a quantum theory of geometry. Our presentation is pedagogical. Thus, in addition to providing a bird's eye view of the present status of the subject, the review should also serve as a vehicle to enter the field and explore it in detail. To aid non-experts, very little is assumed beyond…

## 1,287 Citations

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…

Ju n 20 05 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…

Se p 20 05 Fundamental Structure of Loop Quantum Gravity

- Physics
- 2009

In 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 to…

Aspects of quantum gravity

- Physics
- 2019

For more than 80 years theoretical physicists have been trying to develop a theory of quantum gravity which would successfully combine the tenets of Einstein's theory of general relativity (GR)…

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…

Introduction to loop quantum gravity and spin foams

- Physics
- 2004

These notes are a didactic overview of the non perturbative and background independent approach to a quantum theory of gravity known as loop quantum gravity. The definition of real connection…

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…

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 cosmology: a review.

- PhysicsReports on progress in physics. Physical Society
- 2015

This review presents quantum cosmology in a new picture that tries to incorporate the importance of inhomogeneity in a close relationship with more-established systems in condensed-matter and particle physics even while the large set of space-time symmetries requires some adaptations and new developments.

## References

SHOWING 1-10 OF 376 REFERENCES

Introduction to Modern Canonical Quantum General Relativity

- Physics
- 2001

This is an introduction to the by now fifteen years old research field of canonical quantum general relativity, sometimes called "loop quantum gravity". The term "modern" in the title refers to the…

Quantum geometry and gravity: Recent advances

- Physics
- 2001

Over the last three years, a number of fundamental physical issues were addressed in loop quantum gravity. These include: A statistical mechanical derivation of the horizon entropy, encompassing…

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…

Quantum Gravity

- Physics
- 2002

General lectures on quantum gravity. 1 General Questions on Quantum Gravity It is not clear at all what is the problem in quantum gravity (cf. [3] or [8] for general reviews, written in the same…

Some Comments on the Representation Theory of the Algebra Underlying Loop Quantum Gravity

- Mathematics
- 2002

Important characteristics of the loop approach to quantum gravity are a specific choice of the algebra A of observables and of a representation of A on a measure space over the space of generalized…

Loop Quantum Gravity

- PhysicsLiving reviews in relativity
- 1998

A general overview of ideas, techniques, results and open problems of this candidate theory of quantum gravity is provided, and a guide to the relevant literature is provided.

Quantum Gravity as the Natural Regulator 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…

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…

Recent Developments in Non-Perturbative Quantum Gravity

- Physics
- 1992

New results from the new variables/loop representation program of nonperturbative quantum gravity are presented, with a focus on results of Ashtekar, Rovelli and the author which greatly clarify the…

Spacetime states and covariant quantum theory

- Physics
- 2002

In it's usual presentation, classical mechanics appears to give time a very special role. But it is well known that mechanics can be formulated so as to treat the time variable on the same footing as…