# Bosonic tensor models at large $N$ and small $\epsilon$

@inproceedings{Giombi2017BosonicTM,
title={Bosonic tensor models at large \$N\$ and small \$\epsilon\$},
author={Simone Giombi and Igor R. Klebanov and Grigory Tarnopolsky},
year={2017}
}
We study the spectrum of the large $N$ quantum field theory of bosonic rank-$3$ tensors, whose quartic interactions are such that the perturbative expansion is dominated by the melonic diagrams. We use the Schwinger-Dyson equations to determine the scaling dimensions of the bilinear operators of arbitrary spin. Using the fact that the theory is renormalizable in $d=4$, we compare some of these results with the $4-\epsilon$ expansion, finding perfect agreement. This helps elucidate why the… CONTINUE READING

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