Status: Bibliographieeintrag
Standort: ---
Exemplare:
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| Online-Ressource |
Verfasst von: | Harribey, Sabine [VerfasserIn]  |
Titel: | Sextic tensor model in rank 3 at next-to-leading order |
Verf.angabe: | Sabine Harribey (CPHT, CNRS, École polytechnique, Institut polytechnique de Paris, Institut für Theoretische Physik, Heidelberg) |
E-Jahr: | 2022 |
Jahr: | 05 October 2022 |
Umfang: | 28 S. |
Fussnoten: | Gesehen am 14.12.2022 |
Titel Quelle: | Enthalten in: Journal of high energy physics |
Ort Quelle: | Berlin : Springer, 1997 |
Jahr Quelle: | 2022 |
Band/Heft Quelle: | (2022), 10, Artikel-ID 37, Seite 1-28 |
ISSN Quelle: | 1029-8479 |
Abstract: | We compute the four-loop beta functions of short and long-range multi-scalar models with general sextic interactions and complex fields. We then specialize the beta functions to a U(N)3 symmetry and study the renormalization group at next-to-leading order in N and small ϵ. In the short-range case, ϵ is the deviation from the critical dimension while it is the deviation from the critical scaling of the free propagator in the long-range case. This allows us to find the 1/N corrections to the rank-3 sextic tensor model of [1]. In the short-range case, we still find a non-trivial real IR stable fixed point, with a diagonalizable stability matrix. All couplings, except for the so-called wheel coupling, have terms of order ϵ0 at leading and next-to-leading order, which makes this fixed point different from the other melonic fixed points found in quartic models. In the long-range case, the corrections to the fixed point are instead not perturbative in ϵ and hence unreliable; we thus find no precursor of the large-N fixed point. |
DOI: | doi:10.1007/JHEP10(2022)037 |
URL: | Bitte beachten Sie: Dies ist ein Bibliographieeintrag. Ein Volltextzugriff für Mitglieder der Universität besteht hier nur, falls für die entsprechende Zeitschrift/den entsprechenden Sammelband ein Abonnement besteht oder es sich um einen OpenAccess-Titel handelt.
Volltext: https://doi.org/10.1007/JHEP10(2022)037 |
| DOI: https://doi.org/10.1007/JHEP10(2022)037 |
Datenträger: | Online-Ressource |
Sprache: | eng |
Sach-SW: | 1/N Expansion |
| Renormalization Group |
K10plus-PPN: | 182705798X |
Verknüpfungen: | → Zeitschrift |
Sextic tensor model in rank 3 at next-to-leading order / Harribey, Sabine [VerfasserIn]; 05 October 2022 (Online-Ressource)
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