Discrete quantum gravity: the Lorentz invariant weight for the Barrett-Crane model

Details Discrete quantum gravity: the Lorentz invariant weight for the Barrett-Crane model Discrete quantum gravity: the Lorentz invariant weight for the Barrett-Crane model

2004-11-14

arxiv.org/abs/gr-qc/0411068v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

LaTex, 6 pages. Communication presented to the XXV international Colloquium on Group Theoretical Methods in Physics, Cocoyoc,

Scientific paper

In a recent paper [1] we have constructed the spin and tensor representations of SO(4) from which the invariant weight can be derived for the Barrett-Crane model in quantum gravity. By analogy with the SO(4) group, we present the complexified Clebsch-Gordan coefficients in order to construct the Biedenharn-Dolginov function for the SO(3,1) group and the spherical function as the Lorentz invariant weight of the model.

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