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

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

2000-11-10

arxiv.org/abs/gr-qc/0011037v1

Phys.Rev. D64 (2001) 064002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 1 figure

Scientific paper

10.1103/PhysRevD.64.064002

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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