Standard

On the six-loop scaling dimensions of the (ϕ2)n operators in d=3. / Bednyakov, A.V.; Kompaniets, M.V.; Trenogin, A.V.

в: Nuclear Physics B, Том 1024, 01.03.2026.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Bednyakov, AV, Kompaniets, MV & Trenogin, AV 2026, 'On the six-loop scaling dimensions of the (ϕ2)n operators in d=3', Nuclear Physics B, Том. 1024. https://doi.org/10.1016/j.nuclphysb.2026.117331

APA

Bednyakov, A. V., Kompaniets, M. V., & Trenogin, A. V. (2026). On the six-loop scaling dimensions of the (ϕ2)n operators in d=3. Nuclear Physics B, 1024. https://doi.org/10.1016/j.nuclphysb.2026.117331

Vancouver

Bednyakov AV, Kompaniets MV, Trenogin AV. On the six-loop scaling dimensions of the (ϕ2)n operators in d=3. Nuclear Physics B. 2026 Март 1;1024. https://doi.org/10.1016/j.nuclphysb.2026.117331

Author

Bednyakov, A.V. ; Kompaniets, M.V. ; Trenogin, A.V. / On the six-loop scaling dimensions of the (ϕ2)n operators in d=3. в: Nuclear Physics B. 2026 ; Том 1024.

BibTeX

@article{1b6dd41ed67b47909302da0227e6658f,
title = "On the six-loop scaling dimensions of the (ϕ2)n operators in d=3",
abstract = "We consider a class of singlet operators ( ϕ 2) n in the three-dimensional O ( N ) model with λ 2 ϕ 6 interaction. Recently [1], the corresponding anomalous dimensions γ 2 n were computed by semiclassical methods and the all-loop result for the leading- n corrections in the small λ limit was found. In this paper, we obtain the six-loop expressions not only for the leading- n contribution but also for the subleading one. While the leading correction confirms the predictions of recent semiclassical calculation, the subleading one is a new result and will serve as a future welcome check for all-loop expressions. As an important by-product of our calculation, we provide a full dependence on n of the four-loop γ 2 n in the O ( N ) case. {\textcopyright} 2026 The Authors.",
keywords = "Anomalous dimensions, Feynman diagrams, Quantum field theory",
author = "A.V. Bednyakov and M.V. Kompaniets and A.V. Trenogin",
note = "Export Date: 16 February 2026; Cited By: 0; Correspondence Address: A.V. Bednyakov; Joint Institute for Nuclear Research, Dubna, Joliot-Curie, 6, Moscow region, 141980, Russian Federation; email: bednya@jinr.ru; CODEN: NUPBB",
year = "2026",
month = mar,
day = "1",
doi = "10.1016/j.nuclphysb.2026.117331",
language = "English",
volume = "1024",
journal = "Nuclear Physics B",
issn = "0550-3213",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On the six-loop scaling dimensions of the (ϕ2)n operators in d=3

AU - Bednyakov, A.V.

AU - Kompaniets, M.V.

AU - Trenogin, A.V.

N1 - Export Date: 16 February 2026; Cited By: 0; Correspondence Address: A.V. Bednyakov; Joint Institute for Nuclear Research, Dubna, Joliot-Curie, 6, Moscow region, 141980, Russian Federation; email: bednya@jinr.ru; CODEN: NUPBB

PY - 2026/3/1

Y1 - 2026/3/1

N2 - We consider a class of singlet operators ( ϕ 2) n in the three-dimensional O ( N ) model with λ 2 ϕ 6 interaction. Recently [1], the corresponding anomalous dimensions γ 2 n were computed by semiclassical methods and the all-loop result for the leading- n corrections in the small λ limit was found. In this paper, we obtain the six-loop expressions not only for the leading- n contribution but also for the subleading one. While the leading correction confirms the predictions of recent semiclassical calculation, the subleading one is a new result and will serve as a future welcome check for all-loop expressions. As an important by-product of our calculation, we provide a full dependence on n of the four-loop γ 2 n in the O ( N ) case. © 2026 The Authors.

AB - We consider a class of singlet operators ( ϕ 2) n in the three-dimensional O ( N ) model with λ 2 ϕ 6 interaction. Recently [1], the corresponding anomalous dimensions γ 2 n were computed by semiclassical methods and the all-loop result for the leading- n corrections in the small λ limit was found. In this paper, we obtain the six-loop expressions not only for the leading- n contribution but also for the subleading one. While the leading correction confirms the predictions of recent semiclassical calculation, the subleading one is a new result and will serve as a future welcome check for all-loop expressions. As an important by-product of our calculation, we provide a full dependence on n of the four-loop γ 2 n in the O ( N ) case. © 2026 The Authors.

KW - Anomalous dimensions

KW - Feynman diagrams

KW - Quantum field theory

UR - https://www.mendeley.com/catalogue/beb47b2a-73ad-3541-8543-f07cba66e92f/

U2 - 10.1016/j.nuclphysb.2026.117331

DO - 10.1016/j.nuclphysb.2026.117331

M3 - Article

VL - 1024

JO - Nuclear Physics B

JF - Nuclear Physics B

SN - 0550-3213

ER -

ID: 148832796