Lessons from toy-models for the dynamics of loop quantum gravity

  title={Lessons from toy-models for the dynamics of loop quantum gravity},
  author={Valentin Bonzom and Alok Laddha},
  journal={Symmetry Integrability and Geometry-methods and Applications},
  • V. Bonzom, Alok Laddha
  • Published 10 October 2011
  • Physics
  • Symmetry Integrability and Geometry-methods and Applications
We review some approaches to the Hamiltonian dynamics of (loop) quantum gravity, the main issues being the regularization of the Hamiltonian and the continuum limit. First, Thiemann's definition of the quantum Hamiltonian is presented, and then more recent approaches. They are based on toy models which provide new insights into the difficulties and ambiguities faced in Thiemann's construction. The models we use are parametrized field theories, the topological BF model of which a special case is… 

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