A solvable tensor field theory. (English) Zbl 1433.81127
Summary: 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-Bürmann resummation. Higher-point functions are then obtained recursively.
MSC:
| 81T32 | Matrix models and tensor models for quantum field theory |
| 30B40 | Analytic continuation of functions of one complex variable |
| 40E99 | Inversion theorems |
| 35Q40 | PDEs in connection with quantum mechanics |
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