56 citations · 67 across the 5 of their papers we have counts for
5 papers
Redundant moments of non-melonic random tensor models: simplifying the tensor bootstrap
Carlos I. Perez-Sanchez
We prove the redundancy of a family (the so-called melonic family) of large- moments in arbitrary tensor models. This reduces the number of independent entries in the positive s…
Twofold universality of large- melonic random tensors
Carlos I. Perez-Sanchez
We construct a measure that exhibits two aspects of a new type of universality and dramatically simplifies the integration of tensors ($a_1,…
Borel summability of the 1/N expansion in quartic O(N)-vector models
Léonard Ferdinand, Razvan Gurau, Carlos I. Perez-Sanchez +1
We consider a quartic O(N)-vector model. Using the Loop Vertex Expansion, we prove the Borel summability in 1/N along the real axis of the partition function and of the connected c…
On the large N limit of the Schwinger-Dyson equation of tensor field theory
R. Pascalie, C. I. Pérez-Sánchez, A. Tanasa +1
We analyse in this paper the large N limit of the Schwinger-Dyson equations in a rank-3 tensor quantum field theory, which are derived with the help of Ward-Takahashi identities. I…
Correlation functions of just renormalizable tensorial group field theory: The melonic approximation
Dine Ousmane Samary, Carlos I. Pérez-Sánchez, Fabien Vignes-Tourneret +1
The -colored version of tensor models has been shown to admit a large -limit expansion. The leading contributions result from so-called melonic graphs which are dual to the $…