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One vertex spin-foams with the Dipole Cosmology boundary

arXiv:1203.1530 · doi:10.1088/0264-9381/30/2/025007

Abstract

We find all the spin-foams contributing in the first order of the vertex expansion to the transition amplitude of the Bianchi-Rovelli-Vidotto Dipole Cosmology model. Our algorithm is general and provides spin-foams of arbitrarily given, fixed: boundary and, respectively, a number of internal vertices. We use the recently introduced Operator Spin-Network Diagrams framework.

23 pages, 30 figures