Reduced Loop Quantization with four Klein-Gordon Scalar Fields as Reference Matter

Understand

We perform a reduced phase space quantization of gravity using four Klein-Gordon scalar fields as reference matter as an alternative to the Brown-Kuchar dust model in [1], where dust scalar fields are used.

• We compare our results to an earlier model by Domagala et.
• al.
• [2] where only one Klein-Gordon scalar field is considered as reference matter for the Hamiltonian constraint but the spatial diffeomorphism constraints are quantized using Dirac quantization.