v 4 5 D ec 2 00 8 SO ( 4 , C )-covariant Ashtekar – Barbero gravity and the Immirzi parameter

@inproceedings{Alexandrov2000v45,
  title={v 4 5 D ec 2 00 8 SO ( 4 , C )-covariant Ashtekar – Barbero gravity and the Immirzi parameter},
  author={Sergei Alexandrov},
  year={2000}
}
An so(4,C)-covariant hamiltonian formulation of a family of generalized Hilbert– Palatini actions depending on a parameter (the so called Immirzi parameter) is developed. It encompasses the Ashtekar–Barbero gravity which serves as a basis of quantum loop gravity. Dirac quantization of this system is constructed. Next we study dependence of the quantum system on the Immirzi parameter. The path integral quantization shows no dependence on it. A way to modify the loop approach in the accordance… CONTINUE READING
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