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 …

Instead of formulating the state space of a quantum field theory over one big Hilbert space, it
has been proposed by Kijowski to describe quantum states as projective families of density …

With their seminal work in 1960 on the canonical formulation of general relativity, which has
come to be called the ADM-formalism, Arnowitt, Deser and Misner [1] provided the …

Abstract The Koslowski–Sahlmann (KS) representation is a generalization of the
representation underlying the discrete spatial geometry of loop quantum gravity (LQG), to …

In this article we present a brief introduction to the kinematical setup that underlies the
quantization used in loop quantum gravity. This review has been published as a chapter in …

The main theme of this thesis is an investigation into possible connections between loop
quantum gravity and quantum field theory on curved spacetimes: On the one hand, we aim …

An important challenge in loop quantum gravity is to find semiclassical states—states that
are as close to classical as quantum theory allows. This is difficult because the states in the …

In the first paper of this series, an extension of the Ashtekar-Lewandowski state space of
loop quantum gravity was set up with the help of a projective formalism introduced by …