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Article Dans Une Revue Classical and Quantum Gravity Année : 2008

Lorentzian LQG vertex amplitude

Résumé

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-Immirzi parameter limit.

Dates et versions

hal-00284929 , version 1 (04-06-2008)

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Roberto Pereira. Lorentzian LQG vertex amplitude. Classical and Quantum Gravity, 2008, 25 (8), pp.085013. ⟨hal-00284929⟩
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