English

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.

Keywords

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

R2 v1 2026-06-21T09:36:46.833Z