Projected spin networks for Lorentz connection: linking spin foams and loop gravity

Etera R Livine
2002 Classical and quantum gravity  
In the search for a covariant formulation for Loop Quantum Gravity, spin foams have arised as the corresponding discrete space-time structure and, among the different models, the Barrett-Crane model seems the most promising. Here, we study its boundary states and introduce cylindrical functions on both the Lorentz connection and the time normal to the studied hypersurface. We call them projected cylindrical functions and we explain how they would naturally arise in a covariant formulation of
more » ... t formulation of Loop Quantum Gravity.
doi:10.1088/0264-9381/19/21/316 fatcat:npririjznfhmxia6qlw7i7sbcq