Spin foam model for Lorentzian General Relativity

Abstract

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.

8 pages, 1 figure

References in corpus (2)

• A spin foam model without bubble divergences
• A lattice quantum gravity model with surface-like excitations in 4-dimensional spacetime

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