Lorentzian LQG vertex amplitude
General Relativity and Quantum Cosmology
2009-12-08 v2
Abstract
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.
Cite
@article{arxiv.0710.5043,
title = {Lorentzian LQG vertex amplitude},
author = {Roberto Pereira},
journal= {arXiv preprint arXiv:0710.5043},
year = {2009}
}
Comments
9 pages; typos corrected and footnote added