Renormalization of group field theories for quantum gravity: new scaling results and some suggestions

Abstract

We discuss motivation and goals of renormalization analyses of group field theory models of simplicial 4d quantum gravity, and review briefly the status of this research area. We present some new computations of perturbative GFT (spin foam) amplitudes, concerning in particular the scaling behaviour of radiative corrections to N-point functions. Finally, we single out key open issues and suggest a number of research directions for further progress in this area.

arXiv comment29 pages, 19 figures/tables; v2: 32 pages, improved presentation on several points, some typos corrected, references added

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• Quantum gravity phenomenology at the dawn of the multi-messenger era -- A review
• Spikes and spines in 4D Lorentzian simplicial quantum gravity
• Fermions in Loop Quantum Gravity and Resolution of Doubling Problem
• Cosmological implications of the hydrodynamical phase of group field theory