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Lorentzian spin foam amplitudes: graphical calculus and asymptotics
The amplitude for the 4-simplex in a spin foam model for quantum gravity is defined using a graphical calculus for the unitary representations of the Lorentz group. The asymptotics of this amplitude…
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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.
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Flipped spinfoam vertex and loop gravity
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Regularization and finiteness of the Lorentzian loop quantum gravity vertices
We give an explicit form for the Lorentzian vertices recently introduced for possibly defining the dynamics of loop quantum gravity. As a result of doing so, a natural regularization of the vertices…
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Asymptotics of 4d spin foam models
We study the asymptotic properties of four-simplex amplitudes for various four-dimensional spin foam models. We investigate the semi-classical limit of the Ooguri, Euclidean and Lorentzian EPRL…
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Wheeler-DeWitt quantization can solve the singularity problem
We study the Wheeler-DeWitt quantum cosmology of a spatially flat Friedmann cosmological model with a massless free scalar field. We compare the consistent histories approach with the de Broglie-Bohm…
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Coherent states in quantum gravity: a construction based on the flux representation of loop quantum gravity
As part of a wider study of coherent states in (loop) quantum gravity, we introduce a modification to the standard construction, based on the recently introduced (non-commutative) flux…
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Spinfoams from simplicial geometry
Coherent states, constraint classes and area operators in the new spin-foam models
Recently, two new spin-foam models have appeared in the literature, both motivated by a desire to modify the Barrett–Crane model in such a way that the imposition of certain second class constraints,…
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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,…
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