We describe a completely general and fully non-perturbative framework for constructing
dynamical reference frames in generally covariant theories, and for understanding the …

We present the detailed analyses of a model of loop quantum Schwarzschild interior
coupled to a massless scalar field and extend the results in our previous rapid …

We argue that refining, coarse graining and entangling operators can be obtained from time
evolution operators. This applies in particular to geometric theories, such as spin foams. We …

We construct relational observables in group field theory (GFT) in terms of covariant positive
operator-valued measures (POVMs), using techniques developed in the context of quantum …

This is the first paper of a series dedicated to loop quantum gravity (LQG) coherent states
and cosmology. The concept is based on the effective dynamics program of Loop Quantum …

We study the loop quantum cosmology of a flat Friedmann-Lemaître-Robertson-Walker
space-time with a Maxwell field. We show that many of the qualitative properties derived for …

The fermion propagator is derived in detail from the model of fermion coupled to loop
quantum gravity (LQG). As an ingredient of the propagator, the vacuum state is defined as …

Although the physical Hamiltonian operator can be constructed in the deparametrized model
of loop quantum gravity coupled to a scalar field, its property is still unknown. This open …

We consider the model of gravity coupled to the Klein-Gordon time field. We do not
deparametrize the theory using the scalar field before quantization, but quantize all degrees …

We review recent developments in the treatment of spherically symmetric black holes in loop
quantum gravity. In particular, we discuss an exact solution to the quantum constraints that …