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Editorial for the Special Issue "Progress in Group Field Theory and Related Quantum Gravity Formalisms"
Sylvain Carrozza, Steffen Gielen, Daniele Oriti
This Editorial introduces the Special Issue "Progress in Group Field Theory and Related Quantum Gravity Formalisms" which includes a number of research and review articles covering…
Renormalizable Group Field Theory beyond melonic diagrams: an example in rank four
Sylvain Carrozza, Vincent Lahoche, Daniele Oriti
We prove the renormalizability of a gauge-invariant, four-dimensional GFT model on SU(2), whose defining interactions correspond to necklace bubbles (found also in the context of n…
Is the local linearity of space-time inherited from the linearity of probabilities?
Markus P. Mueller, Sylvain Carrozza, Philipp A Hoehn
The appearance of linear spaces, describing physical quantities by vectors and tensors, is ubiquitous in all of physics, from classical mechanics to the modern notion of local Lore…
Flowing in Group Field Theory Space: a Review
Sylvain Carrozza
We provide a non-technical overview of recent extensions of renormalization methods and techniques to Group Field Theories (GFTs), a class of combinatorially non-local quantum fiel…
Singular topologies in the Boulatov model
Sylvain Carrozza
Through the question of singular topologies in the Boulatov model, we illustrate and summarize some of the recent advances in Group Field Theory.