Renormalization group flow of $O(N)^3$-invariant general sextic tensor model
Abstract
We compute the beta functions for the -invariant general sextic tensor model up to cubic order in the coupling constant, and at leading order in the expansion. Our method is a direct, explicit one, in the sense that we identify the appropriate Feynman graphs, we compute their amplitudes which then allows us to obtain the functions of the model. We perform these computation considering both a long-range and a short-range propagator, within the dimensional regularization framework. We find three fixed points in the short-range case and a line of fixed points, parameterized by the wheel interaction, in the long-range case. This line of fixed points is identical to the one found in the case of the -invariant model. Our result proves that the additional -invariant interactions do not modify the long-range fixed point structure of the model.
Cite
@article{arxiv.2602.17422,
title = {Renormalization group flow of $O(N)^3$-invariant general sextic tensor model},
author = {Gaetan Bardy and Thomas Krajewski and Thomas Muller and Adrian Tanasa},
journal= {arXiv preprint arXiv:2602.17422},
year = {2026}
}