Affiliation:
1. University of Paris-Saclay
2. Claude Bernard University Lyon 1
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 \mathbf{U(1)^5}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.
Cited by
1 articles.
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