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Article Dans Une Revue Physical Review D Année : 2001

3+1 spinfoam model of quantum gravity with spacelike and timelike components

Résumé

We present a spinfoam formulation of Lorentzian quantum General Relativity. The theory is based on a simple generalization of an Euclidean model defined in terms of a field theory over a group. The model is an extension of a recently introduced Lorentzian model, in which both timelike and spacelike components are included. The spinfoams in the model, corresponding to quantized 4-geometries, carry a natural non-perturbative local causal structure induced by the geometry of the algebra of the internal gauge (sl(2,C)). Amplitudes can be expressed as integrals over the spacelike unit-vectors hyperboloid in Minkowski space, or the imaginary Lobachevskian space.
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hal-00130307 , version 1 (07-09-2023)

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Alejandro Perez, Carlo Rovelli. 3+1 spinfoam model of quantum gravity with spacelike and timelike components. Physical Review D, 2001, 64, pp.064002. ⟨hal-00130307⟩
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