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

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...

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Autor principal: Vincent Rivasseau, Fabien Vignes-Tourneret
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Lenguaje:EN
Publicado: SciPost 2021
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Acceso en línea:https://doaj.org/article/12972a7784fc48c4aeeedcddf4b26949
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spelling oai:doaj.org-article:12972a7784fc48c4aeeedcddf4b269492021-11-11T18:12:34ZCan we make sense out of "Tensor Field Theory"?2666-936610.21468/SciPostPhysCore.4.4.029https://doaj.org/article/12972a7784fc48c4aeeedcddf4b269492021-11-01T00:00:00Zhttps://scipost.org/SciPostPhysCore.4.4.029https://doaj.org/toc/2666-9366We 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.Vincent Rivasseau, Fabien Vignes-TourneretSciPostarticlePhysicsQC1-999ENSciPost Physics Core, Vol 4, Iss 4, p 029 (2021)
institution DOAJ
collection DOAJ
language EN
topic Physics
QC1-999
spellingShingle Physics
QC1-999
Vincent Rivasseau, Fabien Vignes-Tourneret
Can we make sense out of "Tensor Field Theory"?
description 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.
format article
author Vincent Rivasseau, Fabien Vignes-Tourneret
author_facet Vincent Rivasseau, Fabien Vignes-Tourneret
author_sort Vincent Rivasseau, Fabien Vignes-Tourneret
title Can we make sense out of "Tensor Field Theory"?
title_short Can we make sense out of "Tensor Field Theory"?
title_full Can we make sense out of "Tensor Field Theory"?
title_fullStr Can we make sense out of "Tensor Field Theory"?
title_full_unstemmed Can we make sense out of "Tensor Field Theory"?
title_sort can we make sense out of "tensor field theory"?
publisher SciPost
publishDate 2021
url https://doaj.org/article/12972a7784fc48c4aeeedcddf4b26949
work_keys_str_mv AT vincentrivasseaufabienvignestourneret canwemakesenseoutoftensorfieldtheory
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