Loop Quantum Gravity: An Inside View

@article{Thiemann2007LoopQG,
  title={Loop Quantum Gravity: An Inside View},
  author={Thomas Thiemann},
  journal={Lecture Notes in Physics},
  year={2007},
  volume={721},
  pages={185-263}
}
  • T. Thiemann
  • Published 29 August 2006
  • Physics
  • Lecture Notes in Physics
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 obtained so far are non -- trivial. The present text can be viewed in part as a response to an article by Nicolai, Peeters and Zamaklar [hep-th/0501114]. We also explain why certain no go conclusions drawn from a mathematically correct calculation in a recent paper by Helling et al [hep-th/0409182… 
A review on Loop Quantum Gravity
The aim of this dissertation is to review `Loop Quantum Gravity', explaining the main structure of the theory and indicating its main open issues. We will develop the two main lines of research for
Introduction to loop quantum gravity
Loop quantum gravity is an attempt to formulate a quantum theory of general relativity. The quantisation is performed in a mathematically rigorous, non-perturbative and background independent manner
On the holographic basis of loop quantum cosmology
In this work, we obtain the loop quantum cosmology dynamical equations, plus a positive cosmological constant, from the Bekenstein–Hawking entropy-area relation given by Loop Quantum Black Holes, by
The Quantum configuration space of loop quantum cosmology
This paper gives an account of several aspects of the space known as the Bohr compactification of the line, featuring as the quantum configuration space in loop quantum cosmology, as well as of the
Gravitational Collapse in Loop Quantum Gravity
Abstract In this paper we study the gravitational collapse applying methods of loop quantum gravity to a minisuperspace model. We consider the space-time region inside the Schwarzschild black hole
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
Quantization of Lorentzian 3D gravity by partial gauge fixing
D = 2 + 1 gravity with a cosmological constant Λ has been shown by Bonzom and Livine to present a Barbero–Immirzi-like ambiguity depending on a parameter γ. We make use of this fact to show that, for
Scalar Material Reference Systems and Loop Quantum Gravity
In the past, the possibility to employ (scalar) material reference systems in order to describe classical and quantum gravity directly in terms of gauge invariant (Dirac) observables has been
Motion in Quantum Gravity
We tackle the question of motion in Quantum Gravity: what does motion mean at the Planck scale? Although we are still far from a complete answer we consider here a toy model in which the problem can
Some aspects of virtual black holes
TLDR
The area and hence the entropy of a real macroscopic black hole is quantized in this model, which gives an intrinsic entropy to all physical systems that can be used to define a direction of time and hence provide a solution to the problem of time.
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 181 REFERENCES
Loop quantum gravity : an outside view
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')
Loop quantum gravity
General relativity and quantum theory have profoundly changed our view of the world. Furthermore, both theories have been verified to extraordinary accuracy in the last several decades. Loop quantum
Background independent quantum gravity: A Status report
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
Time in quantum gravity: An hypothesis.
  • Rovelli
  • Physics
    Physical review. D, Particles and fields
  • 1991
TLDR
It is shown that a natural extension of canonical Heisenberg-picture quantum mechanics is well defined and can be used to describe the "non-Schr\"odinger regime," in which a fundamental time variable is not defined.
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
Black-hole entropy from quantum geometry
Quantum geometry (the modern loop quantum gravity involving graphs and spin-networks instead of the loops) provides microscopic degrees of freedom that account for black-hole entropy. However, the
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 and Regge calculus
Mathematical structure of loop quantum cosmology
Applications of Riemannian quantum geometry to cosmology have had notable successes. In particular, the fundamental discreteness underlying quantum geometry has led to a natural resolution of the big
Regularization ambiguities in loop quantum gravity
One of the main achievements of loop quantum gravity is the consistent quantization of the analog of the Wheeler-DeWitt equation which is free of ultraviolet divergences. However, ambiguities
...
1
2
3
4
5
...