Seminarium Teorii Względności i Grawitacji

We apply the master constraint method on the kinematical Hilbert space of loop quantum gravity to implement a set of gauge conditions fixing the densitized triad to be diagonal. We establish a set of solutions of the constraint operator and show that the action of the basic operators of loop quantum gravity on the resulting states takes on a greatly simplified form. This work represents a systematic derivation of the model of quantum-reduced loop gravity, proposed by Alesci and Cianfrani as an approach to probe the physical content of loop quantum gravity, from the framework of full loop quantum gravity.