65 citations · 648 across the 58 of their papers we have counts for
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Constructive Tensorial Group Field Theory II: The Model
Vincent Lahoche
In this paper we continue our program of non-pertubative constructions of tensorial group field theories (TGFT). We prove analyticity and Borel summability in a suitable domain of…
Constructive Tensorial Group Field Theory I: The Model
Vincent Lahoche
The Loop Vertex Expansion (LVE) is a constructive technique using canonical combinatorial tools. It works well for quantum field theories without renormalization, which is the case…
Functional Renormalization Group Approach for Tensorial Group Field Theory: A Rank-6 Model with Closure Constraint
Dario Benedetti, Vincent Lahoche
We develop the functional renormalization group formalism for a tensorial group field theory with closure constraint, in the case of an Abelian just renormalizable model with quart…
Renormalization of a tensorial field theory on the homogeneous space SU(2)/U(1)
Vincent Lahoche, Daniele Oriti
We study the renormalization of a general field theory on the 2-sphere with tensorial interaction and gauge invariance under the diagonal action of SU(2). We derive the power count…
Renormalization of an Abelian Tensor Group Field Theory: Solution at Leading Order
Vincent Lahoche, Daniele Oriti, Vincent Rivasseau
We study a just renormalizable tensorial group field theory of rank six with quartic melonic interactions and Abelian group U(1). We introduce the formalism of the intermediate fie…