Abstract
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.
- Received 6 August 1999
DOI:https://doi.org/10.1103/PhysRevD.61.064014
©2000 American Physical Society