TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.4.4.029
TI  - Can we make sense out of "Tensor Field Theory"?
PY  - 2021/11/11
UR  - https://www.scipost.org/SciPostPhysCore.4.4.029
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 4
IS  - 4
SP  - 029
A1  - Rivasseau, Vincent
AU  - Vignes-Tourneret, Fabien
AB  - We continue the constructive program about tensor field theory through the next natural model, namely the rank five tensor theory with quartic melonic interactions and propagator inverse of the Laplacian on $U(1)^5$. We make a first step towards its construction by establishing its power counting, identifying the divergent graphs and performing a careful study of (a slight modification of) its RG flow. Thus we give strong evidence that this just renormalizable tensor field theory is non perturbatively asymptotically free.
ER  -

@Article{10.21468/SciPostPhysCore.4.4.029,
	title={{Can we make sense out of "Tensor Field Theory"?}},
	author={Vincent Rivasseau and Fabien Vignes-Tourneret},
	journal={SciPost Phys. Core},
	volume={4},
	pages={029},
	year={2021},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.4.4.029},
	url={https://scipost.org/10.21468/SciPostPhysCore.4.4.029},
}