Integrability for Relativistic Spin Networks

@inproceedings{Barrett2003IntegrabilityFR,
  title={Integrability for Relativistic Spin Networks},
  author={John W. Barrett},
  year={2003}
}
The evaluation of relativistic spin networks plays a fundamental role in the Barrett-Crane state sum model of Lorentzian quantum gravity in 4 dimensions. A relativistic spin network is a graph labelled by unitary irreducible representations of the Lorentz group appearing in the direct integral decomposition of the space of L functions on three-dimensional hyperbolic space. To ‘evaluate’ such a spin network we must do an integral; if this integral converges we say the spin network is ‘integrable… CONTINUE READING
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