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… 

Figures from this paper

An invitation to loop quantum gravity
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
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
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
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
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
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
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
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
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.
  • M. Bojowald
  • Physics
    Reports on progress in physics. Physical Society
  • 2015
TLDR
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.
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 376 REFERENCES
Introduction to Modern Canonical Quantum General Relativity
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
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
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
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
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
  • C. Rovelli
  • Physics
    Living reviews in relativity
  • 1998
TLDR
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
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
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
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
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
...
1
2
3
4
5
...