In this review, we analyse different aspects concerning the possibility to separate a gravity-
matter system into a part which lives close to a quasi-classical state and a “small” quantum …

In this review, we investigate the question of backreaction in different approaches to
cosmological perturbation theory, and with a special focus on quantum theoretical aspects …

In this review, we focus on whether a canonical quantization of general relativity can
produce testable predictions for cosmology. In particular, we examine how this approach …

An introduction to loop quantum gravity is given, focussing on the fundamental aspects of
the theory, different approaches to the dynamics, as well as possible future directions. It is …

We consider the coupling of a scalar field to linearised gravity and derive a relativistic
gravitationally induced decoherence model using Ashtekar variables. The model is …

In this article, the third of three, we analyse how the Weyl quantisation for compact Lie
groups presented in the second article of this series fits with the projective-phase space …

The way physics of loop quantum gravity is affected by the underlying quantization
ambiguities is an open question. We address this issue in the context of loop quantum …

The quantum-to-classical transition through decoherence is a major facet of the semi-
classical analysis of quantum models that are supposed to admit a classical regime, as …

This paper presents a novel path integral formalism for Einstein's theory of gravitation from
the viewpoint of optimal control theory. Despite its close connection to the well-known …

In this article, the second of three, we discuss and develop the basis of a Weyl quantisation
for compact Lie groups aiming at loop quantum gravity-type models. This Weyl quantisation …