Making the Lorentzian path integral for quantum gravity well-defined and computable has
been a long standing challenge. In this work we adopt the recently proposed effective spin …

We construct a second quantized reformulation of canonical loop quantum gravity (LQG) at
both kinematical and dynamical level, in terms of a Fock space of spin networks, and show …

We review the relation between Loop Quantum Gravity on a fixed graph and discrete models
of gravity. We compare Regge and twisted geometries, and discuss discrete actions based …

The causal structure is a quintessential element of continuum spacetime physics and needs
to be properly encoded in a theory of Lorentzian quantum gravity. Established spin foam …

A number of approaches to four-dimensional quantum gravity, such as loop quantum gravity
and holography, situate areas as their fundamental variables. However, this choice of …

Spin foams provide path integrals for quantum gravity, which employ discretizations as
regulator. To obtain regulator independent predictions, we must remove these fiducial …

The first computation of a spin foam dynamics that provides a test of the quantum equations
of motions of gravity is presented. Specifically, a triangulation that includes an inner edge is …

We describe a technique to study the asymptotics of SL (2, C) invariant tensors associated to
graphs, with unitary irreps and lowest SU (2) spins, and apply it to the Lorentzian Engle …

In this paper we apply a recently proposed numerical algorithm for finding stationary phase
points in spin foam amplitudes. We study a spin foam amplitude with three vertices and a …

We employ the methods of discrete (Lorentzian) Regge calculus for analysing Lorentzian
quantum cosmology models with a special focus on discrete analogues of the no-boundary …