Algebraic quantum gravity (AQG): IV. Reduced phase space quantization of loop quantum gravity
Algebraic quantum gravity (AQG): IV. Reduced phase space quantization of loop quantum gravity
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 -- Kuchar mechanism in the presence of pressure free dust fields which allows to deparametrise …