119 citations · 1.2k across the 30 of their papers we have counts for
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hep-th2013★ 104 cited
Tensorial methods and renormalization in Group Field Theories
Sylvain Carrozza
In this thesis, we study the structure of Group Field Theories (GFTs) from the point of view of renormalization theory. Such quantum field theories are found in approaches to quant…
hep-th2013★ 60 cited
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…
hep-th2013★ 116 cited
Renormalization of an SU(2) Tensorial Group Field Theory in Three Dimensions
Sylvain Carrozza, Daniele Oriti, Vincent Rivasseau
We address in this paper the issue of renormalizability for SU(2) Tensorial Group Field Theories (TGFT) with geometric Boulatov-type conditions in three dimensions. We prove that t…