A Solvable Tensor Field Theory

Romain Pascalie (1)

1 LaBRI - Laboratoire Bordelais de Recherche en Informatique

We solve the closed Schwinger-Dyson equation for the 2-point function of a tensor field theory with a quartic melonic interaction, in terms of Lambert's W-function, using a perturbative expansion and Lagrange-B\"{u}rmann resummation. Higher-point functions are then obtained recursively.

Mots clés: field theory: tensor; Dyson-Schwinger equation; two-point function; resummation; perturbation theory; Feynman graph

Domaines: Physique mathématique [math-ph]; Physique des Hautes Energies - Théorie [hep-th]

Romain Pascalie. A Solvable Tensor Field Theory. Lett.Math.Phys., 2020, 110 (5), pp.5. ⟨10.1007/s11005-019-01245-0⟩. ⟨hal-02073473⟩