A Solvable Tensor Field Theory
Mathematical Physics
2020-08-03 v2 High Energy Physics - Theory
math.MP
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.
Cite
@article{arxiv.1903.02907,
title = {A Solvable Tensor Field Theory},
author = {Romain Pascalie},
journal= {arXiv preprint arXiv:1903.02907},
year = {2020}
}
Comments
16 pages, 3 figures, v2: comments added. arXiv admin note: text overlap with arXiv:1810.09867