" Quantum Gravitation" approaches the subject from the point of view of Feynman path
integrals, which provide a manifestly covariant approach in which fundamental quantum …

Discrete approaches to gravity, both classical and quantum, are reviewed briefly, with
emphasis on the method using piecewise-linear spaces. Models of three-dimensional …

Starting from the canonical phase space for discretized (4D) BF theory, we implement a
canonical version of the simplicity constraints and construct phase spaces for simplicial …

Spin foam models, loop quantum gravity, and group field theory are discussed as quantum
gravity candidate theories and usually involve a continuous Lie group. We advocate here to …

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 will examine the issue of diffeomorphism symmetry in simplicial models of (quantum)
gravity, in particular for Regge calculus. We find that for a solution with curvature there do …

In this paper, we show how extended topological quantum field theories (TQFTs) can be
used to obtain a kinematical setup for quantum gravity, ie a kinematical Hilbert space …

We explore the extension of quantum cosmology outside the homogeneous approximation
using the formalism of loop quantum gravity. We introduce a model where some of the …

The large-j asymptotic behavior of the four-dimensional spin foam amplitude is investigated
for the extended spin foam model (Conrady-Hnybida extension) on a simplicial complex. We …

A model for quantized gravitation based on simplicial lattice discretization is studied in detail
using a comprehensive finite size scaling analysis combined with renormalization group …