Flipped spinfoam vertex and loop gravity

@article{Engle2008FlippedSV,
  title={Flipped spinfoam vertex and loop gravity},
  author={Jonathan Engle and Roberto Pereira and Carlo Rovelli},
  journal={Nuclear Physics},
  year={2008},
  volume={798},
  pages={251-290}
}
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References

SHOWING 1-10 OF 115 REFERENCES
New spinfoam vertex for quantum gravity
We introduce a new spinfoam vertex to be used in models of 4d quantum gravity based on SU(2) and SO(4) BF theory plus constraints. It can be seen as the conventional vertex of SU(2) BF theory, the…
'Sum over surfaces' form of loop quantum gravity
We derive a spacetime formulation of quantum general relativity from (hamiltonian) loop quantum gravity. In particular, we study the quantum propagator that evolves the 3-geometry in proper time. We…
SU(2) loop quantum gravity seen from covariant theory
Covariant loop gravity comes out of the canonical analysis of the Palatini action and the use of the Dirac brackets arising from dealing with the second class constraints (“simplicity” constraints).…
Loop Quantum Gravity seen from Covariant Theory
Covariant loop gravity comes out of the canonical analysis of the Palatini action and the use of the Dirac brackets arising from dealing with the second class constraints (“simplicity” constraints).…
Loop-quantum-gravity vertex amplitude.
TLDR
This work presents an alternative dynamics that can be derived as a quantization of a Regge discretization of Euclidean general relativity, where second class constraints are imposed weakly.
Quantum Spin Dynamics (QSD)
An anomaly-free operator corresponding to the Wheeler - DeWitt constraint of Lorentzian, four-dimensional, canonical, non-perturbative vacuum gravity is constructed in the continuum. This operator is…
Three-dimensional loop quantum gravity: physical scalar product and spin-foam models
In this paper, we address the problem of the dynamics in three-dimensional loop quantum gravity with zero cosmological constant. We construct a rigorous definition of Rovelli's generalized projection…
Lorentzian loop quantum gravity vertex amplitude
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,…
LQG vertex with finite Immirzi parameter
Spacetime as a Feynman diagram: the connection formulation
Spin-foam models are the path-integral counterparts to loop-quantized canonical theories. Over the last few years several spin-foam models of gravity have been proposed, most of which live on finite…
...
...