# A Solvable Tensor Field Theory

## TL;DR

This paper presents an exact solution to the Schwinger-Dyson equation for a tensor field theory with quartic melonic interactions, using Lambert's W-function and resummation techniques, enabling recursive computation of higher-point functions.

## Contribution

It introduces an exact analytical solution to the 2-point function in tensor field theory, a novel application of Lambert's W-function and resummation methods.

## Key findings

- Exact solution for the 2-point function using Lambert's W-function
- Recursive computation of higher-point functions
- Advancement in solving tensor field theories analytically

## Abstract

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.