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Электронный каталог: Bednyakov, A. V. - On the Six-Loop Scaling Dimensions of the (*f*2)&sup(n) Operators in d = 3
Bednyakov, A. V. - On the Six-Loop Scaling Dimensions of the (*f*2)&sup(n) Operators in d = 3
Статья
Автор: Bednyakov, A. V.
Nuclear Physics B: On the Six-Loop Scaling Dimensions of the (*f*2)&sup(n) Operators in d = 3
б.г.
ISBN отсутствует
Автор: Bednyakov, A. V.
Nuclear Physics B: On the Six-Loop Scaling Dimensions of the (*f*2)&sup(n) Operators in d = 3
б.г.
ISBN отсутствует
На полку
Статья
Bednyakov, A.V.
On the Six-Loop Scaling Dimensions of the (*f*2)&sup(n) Operators in d = 3 / A.V.Bednyakov, M.V.Kompaniets, A.V.Trenogin. – Text : electronic // Nuclear Physics B. – 2026. – Vol. 1024. – P. 117331. – URL: https://doi.org/10.1016/j.nuclphysb.2026.117331. – Bibliogr.: 47.
We consider a class of singlet operators (*f&sup(2))&sup(n) in the three-dimensional 𝑂(𝑁) model with *l&sup(2)*f&sup(6) interaction. Recently [1], the corresponding anomalous dimensions *g&sub(2𝑛) were computed by semiclassical methods and the all-loop result for the leading-𝑛 corrections in the small *l 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 *g&sub(2𝑛) in the 𝑂(𝑁) case.
Спец.(статьи,препринты) = С 324 - Квантовая теория поля
ОИЯИ = ОИЯИ (JINR)2026
Bednyakov, A.V.
On the Six-Loop Scaling Dimensions of the (*f*2)&sup(n) Operators in d = 3 / A.V.Bednyakov, M.V.Kompaniets, A.V.Trenogin. – Text : electronic // Nuclear Physics B. – 2026. – Vol. 1024. – P. 117331. – URL: https://doi.org/10.1016/j.nuclphysb.2026.117331. – Bibliogr.: 47.
We consider a class of singlet operators (*f&sup(2))&sup(n) in the three-dimensional 𝑂(𝑁) model with *l&sup(2)*f&sup(6) interaction. Recently [1], the corresponding anomalous dimensions *g&sub(2𝑛) were computed by semiclassical methods and the all-loop result for the leading-𝑛 corrections in the small *l 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 *g&sub(2𝑛) in the 𝑂(𝑁) case.
Спец.(статьи,препринты) = С 324 - Квантовая теория поля
ОИЯИ = ОИЯИ (JINR)2026
