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  Renormalizable Group Field Theory beyond melons: an example in rank four

Carrozza, S., Lahoche, V., & Oriti, D. (2017). Renormalizable Group Field Theory beyond melons: an example in rank four. Physical Review D, 96: 066007. doi:10.1103/PhysRevD.96.066007.

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 Urheber:
Carrozza, Sylvain1, Autor           
Lahoche, Vincent, Autor
Oriti, Daniele1, Autor           
Affiliations:
1Microscopic Quantum Structure & Dynamics of Spacetime, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_67201              

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Schlagwörter: General Relativity and Quantum Cosmology, gr-qc,High Energy Physics - Theory, hep-th
 Zusammenfassung: We prove the renormalizability of a gauge-invariant, four-dimensional GFT model on SU(2), whose defining interactions correspond to necklace bubbles (found also in the context of new large-N expansions of tensor models), rather than melonic ones, which are not renormalizable in this case. The respective scaling of different interactions in the vicinity of the Gaussian fixed point is determined by the renormalization group itself. This is possible because of the appropriate notion of canonical dimension of the GFT coupling constants takes into account the detailed combinatorial structure of the individual interaction terms. This is one more instance of the peculiarity (and greater mathematical richness) of GFTs with respect to ordinary local quantum field theories. We also explore the renormalization group flow of the model at the non-perturbative level, using functional renormalization group methods, and identify a non-trivial fixed point in various truncations. This model is expected to have a similar structure of divergences as the GFT models of 4d quantum gravity, thus paving the way to more detailed investigations on them.

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 Datum: 2017-03-202017
 Publikationsstatus: Erschienen
 Seiten: 30 pages, 15 figures, 2 tables
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Titel: Physical Review D
  Andere : Phys. Rev. D.
Genre der Quelle: Zeitschrift
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Ort, Verlag, Ausgabe: Lancaster, Pa. : American Physical Society
Seiten: - Band / Heft: 96 Artikelnummer: 066007 Start- / Endseite: - Identifikator: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258