Quantum spin dynamics (QSD): IV. ? Euclidean quantum gravity as a model to test ? Lorentzian quantum gravity

@article{Thiemann1997QuantumSD,
  title={Quantum spin dynamics (QSD): IV. ? Euclidean quantum gravity as a model to test ? Lorentzian quantum gravity},
  author={Thomas Thiemann},
  journal={Classical and Quantum Gravity},
  year={1997},
  volume={15},
  pages={1249-1280}
}
  • T. Thiemann
  • Published 10 May 1997
  • Physics
  • Classical and 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 therefore resemble very little those of the corresponding Lorentzian 3 + 1 constraints. In this paper we canonically quantize Euclidean 2 + 1 gravity for an arbitrary genus of the spacelike hypersurface with new, classically equivalent constraints that maximally probe the Lorentzian 3 + 1 situation. We… 
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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
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This paper deals with several technical issues of non-perturbative four-dimensional Lorentzian canonical quantum gravity in the continuum that arose in connection with the recently constructed
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