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Article Dans Une Revue SciPost Physics Core Année : 2021

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

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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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hal-03109861 , version 1 (14-01-2021)
hal-03109861 , version 2 (11-11-2021)

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Vincent Rivasseau, Fabien Vignes-Tourneret. Can we make sense out of "Tensor Field Theory"?. SciPost Physics Core, 2021, 4 (4), pp.029. ⟨10.21468/SciPostPhysCore.4.4.029⟩. ⟨hal-03109861v2⟩
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