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Can we make sense out of "Tensor Field Theory"?

by Vincent Rivasseau, Fabien Vignes-Tourneret

Submission summary

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
Academic field: Physics
Specialties:
  • Mathematical Physics
Approach: Theoretical

Abstract

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.

Current status:
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Submission 2101.04970v1 on 25 February 2021

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