This contribution is an appetizer to the relatively young and fast-evolving approach to
quantum cosmology based on group field theory condensate states. We summarize the …

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

We compute numerically the Lorentzian Engle-Pereira-Rovelli-Livine spinfoam propagator
on a 4-simplex, by adapting the Lefschetz thimble and Markov chain Monte-Carlo methods …

Monte Carlo algorithms are barely considered in spin foam quantum gravity. Due to the
quantum nature of spin foam amplitudes one cannot readily apply them and the present sign …

A bstract In the group field theory approach to quantum gravity, continuous spacetime
geometry is expected to emerge via phase transition. However, understanding the phase …

We give a general definition of spin foam models, and then of models of 4d quantum gravity
based on constraining BF theory. We highlight the construction and quantization ambiguities …

It has been shown in [S. Steinhaus and J. Thürigen, Phys. Rev. D 98, 026013 (2018)
PRVDAQ 2470-0010 10.1103/PhysRevD. 98.026013] that a class of restricted spin foam …

We present the first numerical calculation of the 4D Euclidean spin foam vertex amplitude for
vertices with hypercubic combinatorics. Concretely, we compute the amplitude for coherent …

A bstract At criticality, discrete quantum-gravity models are expected to give rise to
continuum spacetime. Recent progress has established the functional renormalization group …

Periodic patterns of logarithmic oscillations can arise in primordial curvature perturbation
spectra and in the associated gravitational-wave background via different mechanisms. We …