Lorentzian LQG vertex amplitude

Details Lorentzian LQG vertex amplitude Lorentzian LQG vertex amplitude

2007-10-26

arxiv.org/abs/0710.5043v2

Class.Quant.Grav.25:085013,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages; typos corrected and footnote added

Scientific paper

10.1088/0264-9381/25/8/085013

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.

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