440 citations · 1.6k across the 34 of their papers we have counts for
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Weighting bubbles in group field theory
Aristide Baratin, Laurent Freidel, Razvan Gurau
Group field theories (GFT) are higher dimensional generalizations of matrix models whose Feynman diagrams are dual to triangulations. Here we propose a modification of GFT models t…
Melonic phase transition in group field theory
Aristide Baratin, Sylvain Carrozza, Daniele Oriti +2
Group field theories have recently been shown to admit a 1/N expansion dominated by so-called `melonic graphs', dual to triangulated spheres. In this note, we deepen the analysis o…
Group field theory and simplicial gravity path integrals: A model for Holst-Plebanski gravity
Aristide Baratin, Daniele Oriti
In a recent work, a dual formulation of group field theories as non-commutative quantum field theories has been proposed, providing an exact duality between spin foam models and no…
Diffeomorphisms in group field theories
Aristide Baratin, Florian Girelli, Daniele Oriti
We study the issue of diffeomorphism symmetry in group field theories (GFT), using the recently introduced noncommutative metric representation. In the colored Boulatov model for 3…
Non-commutative flux representation for loop quantum gravity
Aristide Baratin, Bianca Dittrich, Daniele Oriti +1
The Hilbert space of loop quantum gravity is usually described in terms of cylindrical functionals of the gauge connection, the electric fluxes acting as non-commuting derivation o…
Group field theory with non-commutative metric variables
Aristide Baratin, Daniele Oriti
We introduce a dual formulation of group field theories, making them a type of non-commutative field theories. In this formulation, the variables of the field are Lie algebra varia…