A Lorentzian signature model for quantum general relativity

@article{Barrett2000ALS,
  title={A Lorentzian signature model for quantum general relativity},
  author={John W. Barrett and Louis Crane},
  journal={Classical and Quantum Gravity},
  year={2000},
  volume={17},
  pages={3101-3118}
}
  • J. Barrett, L. Crane
  • Published 9 April 1999
  • Mathematics, Physics
  • Classical and Quantum Gravity
We give a relativistic spin network model for quantum gravity based on the Lorentz group and its q-deformation, the Quantum Lorentz Algebra. We propose a combinatorial model for the path integral given by an integral over suitable representations of this algebra. This generalises the state sum models for the case of the four-dimensional rotation group previously studied in gr-qc/9709028. As a technical tool, formulae for the evaluation of relativistic spin networks for the Lorentz group are… 
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