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• W3105255087 abstract "We address in this paper the issue of renormalizability for SU(2) Tensorial Group Field Theories (TGFT) with geometric Boulatov-type conditions in three dimensions. We prove that tensorial interactions up to degree 6 are just renormalizable without any anomaly. Our new models define the renormalizable TGFT version of the Boulatov model and provide therefore a new approach to quantum gravity in three dimensions. Among the many new technical results established in this paper are a general classification of just renormalizable models with gauge invariance condition, and in particular concerning properties of melonic graphs, the second order expansion of melonic two point subgraphs needed for wave-function renormalization." @default.
• W3105255087 created "2020-11-23" @default.
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• W3105255087 date "2014-03-13" @default.
• W3105255087 modified "2023-10-03" @default.
• W3105255087 title "Renormalization of a SU(2) Tensorial Group Field Theory in Three Dimensions" @default.
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• W3105255087 doi "https://doi.org/10.1007/s00220-014-1928-x" @default.
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