Lorentzian loop quantum gravity vertex amplitude

  title={Lorentzian loop quantum gravity vertex amplitude},
  author={Roberto Pereira},
  journal={Classical and Quantum Gravity},
  • R. Pereira
  • Published 1 April 2008
  • Physics
  • Classical and Quantum Gravity
We generalize a model recently proposed for Euclidean quantum gravity to the case of Lorentzian signature. The main features of the Euclidean model are preserved in the Lorentzian one. In particular, the boundary Hilbert space matches the one of SU(2) loop quantum gravity. As in the Euclidean case, the model can be obtained from the Lorentzian Barrett–Crane model from a flipping of the Poisson structure, or alternatively, by adding a topological term to the action and taking the small Barbero… 

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