Spin foam model for Lorentzian General Relativity

Details Spin foam model for Lorentzian General Relativity Spin foam model for Lorentzian General Relativity

2000-09-07

arxiv.org/abs/gr-qc/0009021v1

Phys.Rev.D63:041501,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 1 figure

Scientific paper

10.1103/PhysRevD.63.041501

We present a spin foam 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. Its vertex amplitude turns out to be the one recently introduced by Barrett and Crane. As in the case of its Euclidean relatives, the model fully implements the desired sum over 2-complexes which encodes the local degrees of freedom of the theory.

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