Algebraic Quantum Gravity ( AQG ) IV . Reduced Phase Space Quantisation of Loop Quantum Gravity

@inproceedings{Giesel2007AlgebraicQG,
  title={Algebraic Quantum Gravity ( AQG ) IV . Reduced Phase Space Quantisation of Loop Quantum Gravity},
  author={K. Giesel and Thomas Thiemann and f. Gravitationsphysik},
  year={2007}
}
We perform a canonical, reduced phase space quantisation of General Relativity by Loop Quantum Gravity (LQG) methods. The explicit construction of the reduced phase space is made possible by the combination of 1. the Brown – Kuchǎr mechanism in the presence of pressure free dust fields which allows to deparametrise the theory and 2. Rovelli’s relational formalism in the extended version developed by Dittrich to construct the algebra of gauge invariant observables. Since the resulting algebra of… CONTINUE READING

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