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Can we make sense out of "Tensor Field Theory"?
by Vincent Rivasseau, Fabien Vignes-Tourneret
|As Contributors:||Fabien Vignes-Tourneret|
|Arxiv Link:||https://arxiv.org/abs/2101.04970v1 (pdf)|
|Date submitted:||2021-02-25 13:48|
|Submitted by:||Vignes-Tourneret, Fabien|
|Submitted to:||SciPost Physics|
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, identifiying 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.
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