Sextic tensor model in rank 3 at next-to-leading order

• 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
• DOI: doi:10.1007/JHEP10(2022)037
• Datenträger: Online-Ressource
• Sprache: eng
• Sach-SW: 1/N Expansion
• Sach-SW: Renormalization Group
• K10plus-PPN: 182705798X

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.