Boundary terms in the Barrett-Crane spin foam model and consistent gluing

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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10 pages, 2 figures, revtex; v2: typos in some formulas corrected, version appeared in journal

Scientific paper

10.1016/S0370-2693(02)01559-9

We extend the lattice gauge theory-type derivation of the Barrett-Crane spin foam model for quantum gravity to other choices of boundary conditions, resulting in different boundary terms, and re-analyze the gluing of 4-simplices in this context. This provides a consistency check of the previous derivation. Moreover we study and discuss some possible alternatives and variations that can be made to it and the resulting models.

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