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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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
SciPost
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/12972a7784fc48c4aeeedcddf4b26949 |
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| Sumario: | 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. |
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