Causality in Spin Foam Models

Details Causality in Spin Foam Models Causality in Spin Foam Models

1999-08-05

arxiv.org/abs/gr-qc/9908018v1

Phys.Rev. D61 (2000) 064014

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, LaTeX2e, many eps figures

Scientific paper

10.1103/PhysRevD.61.064014

We compute Teitelboim's causal propagator in the context of canonical loop quantum gravity. For the Lorentzian signature, we find that the resultant power series can be expressed as a sum over branched, colored two-surfaces with an intrinsic causal structure. This leads us to define a general structure which we call a ``causal spin foam''. We also demonstrate that the causal evolution models for spin networks fall in the general class of causal spin foams.

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