Lectures on Loop Quantum Gravity

@article{Thiemann2002LecturesOL,
  title={Lectures on Loop Quantum Gravity},
  author={Thomas Thiemann},
  journal={Lecture Notes in Physics},
  year={2002},
  volume={631},
  pages={41-135}
}
  • T. Thiemann
  • Published 28 October 2002
  • Physics
  • Lecture Notes in Physics
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 field. The features that distinguish it from other quantum gravity theories are 1) backgroundindependence and 2) minimality of structures.Background independence means that this is a non-perturbative approach in which one does notperturb around a given, distinguished, classical background metric… 
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Approaching the Planck Scale from a Generally Relativistic Point of View: A Philosophical Appraisal of Loop Quantum Gravity
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References

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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
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 spin dynamics (QSD): IV. ? Euclidean quantum gravity as a model to test ? Lorentzian quantum gravity
The quantization of Lorentzian or Euclidean 2 + 1 gravity by canonical methods is a well studied problem. However, the constraints of 2 + 1 gravity are those of a topological field theory and
Gauge field theory coherent states (GCS): IV. Infinite tensor product and thermodynamical limit
In the canonical approach to Lorentzian quantum general relativity in four spacetime dimensions an important step forward has been made by Ashtekar, Isham and Lewandowski some eight years ago through
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We review some recent attempts to extract information about the nature of quantum gravity, with and without matter, by quantum field theoretical methods. More specifically, we work within a covariant
Nonperturbative quantum geometries
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 cosmology: I. Kinematics
The framework of quantum symmetry reduction is applied to loop quantum gravity with respect to transitively acting symmetry groups. This allows us to test loop quantum gravity in a large class of
Quantum spin dynamics (QSD): VII. Symplectic structures and continuum lattice formulations of gauge field theories
Interesting nonlinear functions on the phase spaces of classical field theories can never be quantized immediately because the basic fields of the theory become operator-valued distributions.
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We derive a spacetime formulation of quantum general relativity from (hamiltonian) loop quantum gravity. In particular, we study the quantum propagator that evolves the 3-geometry in proper time. We
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