Corpus ID: 237513408

Double scaling limit for the $O(N)^3$-invariant tensor model

  title={Double scaling limit for the \$O(N)^3\$-invariant tensor model},
  author={Valentin Bonzom and Victor Nador and Adrian Tanasa},
We study the double scaling limit of the O(N)-invariant tensor model, initially introduced in Carrozza and Tanasa, Lett. Math. Phys. (2016). This model has an interacting part containing two types of quartic invariants, the tetrahedric and the pillow one. For the 2-point function, we rewrite the sum over Feynman graphs at each order in the 1/N expansion as a finite sum, where the summand is a function of the generating series of melons and chains (a.k.a. ladders). The graphs which are the most… Expand

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