The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion

L. Ts Adzhemyan; D. A. Evdokimov; M. Hnatič; E. V. Ivanova; M. V. Kompaniets; A. Kudlis; D. V. Zakharov

doi:10.1016/j.physleta.2021.127870

The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion

L. Ts Adzhemyan, D. A. Evdokimov, M. Hnatič, E. V. Ivanova, M. V. Kompaniets, A. Kudlis, D. V. Zakharov

Результат исследований: Научные публикации в периодических изданиях › статья › рецензирование

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Аннотация

We calculate the dynamical critical exponent z for 2d and 3d Ising universality classes by means of minimally subtracted five-loop ε expansion obtained for the one-component model A. This breakthrough turns out to be possible through the successful adaptation of the Sector Decomposition technique to the problems of critical dynamics. The obtained fifth perturbative order accompanied by the use of advanced resummation techniques for asymptotic series allows us to find highly accurate numerical estimates of z: for two- and three-dimensional cases we obtain 2.14(2) and 2.0235(8) respectively. The numbers found are in good agreement with recent results obtained using different approaches.

Язык оригинала	английский
Номер статьи	127870
Журнал	Physics Letters, Section A: General, Atomic and Solid State Physics
Том	425
DOI	https://doi.org/10.1016/j.physleta.2021.127870
Состояние	Опубликовано - 16 фев 2022

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Физика и астрономия (все)

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5-loop Calculation of Critical Exponent z of Model A
Даниил Александрович Евдокимов (Докладчик)
10 ноя 2021
Деятельность: выступление › выступление с устной презентацией
5-loop estimates of the critical exponent z in A model
Даниил Александрович Евдокимов (Докладчик)
18 ноя 2021
Деятельность: выступление › выступление со стендовым докладом

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@article{d9efb416100c4fafaeca43f73e683196,

title = "The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion",

abstract = "We calculate the dynamical critical exponent z for 2d and 3d Ising universality classes by means of minimally subtracted five-loop ε expansion obtained for the one-component model A. This breakthrough turns out to be possible through the successful adaptation of the Sector Decomposition technique to the problems of critical dynamics. The obtained fifth perturbative order accompanied by the use of advanced resummation techniques for asymptotic series allows us to find highly accurate numerical estimates of z: for two- and three-dimensional cases we obtain 2.14(2) and 2.0235(8) respectively. The numbers found are in good agreement with recent results obtained using different approaches.",

keywords = "Critical dynamic exponent z, Critical dynamics, Multi-loop calculation, Renormalization group, ε expansion",

author = "Adzhemyan, {L. Ts} and Evdokimov, {D. A.} and M. Hnati{\v c} and Ivanova, {E. V.} and Kompaniets, {M. V.} and A. Kudlis and Zakharov, {D. V.}",

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year = "2022",

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day = "16",

doi = "10.1016/j.physleta.2021.127870",

language = "English",

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The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion. / Adzhemyan, L. Ts ; Evdokimov, D. A.; Hnatič, M.; Ivanova, E. V.; Kompaniets, M. V.; Kudlis, A.; Zakharov, D. V.

В: Physics Letters, Section A: General, Atomic and Solid State Physics, Том 425, 127870, 16.02.2022.

Результат исследований: Научные публикации в периодических изданиях › статья › рецензирование

TY - JOUR

T1 - The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion

AU - Adzhemyan, L. Ts

AU - Evdokimov, D. A.

AU - Hnatič, M.

AU - Ivanova, E. V.

AU - Kompaniets, M. V.

AU - Kudlis, A.

AU - Zakharov, D. V.

PY - 2022/2/16

Y1 - 2022/2/16

N2 - We calculate the dynamical critical exponent z for 2d and 3d Ising universality classes by means of minimally subtracted five-loop ε expansion obtained for the one-component model A. This breakthrough turns out to be possible through the successful adaptation of the Sector Decomposition technique to the problems of critical dynamics. The obtained fifth perturbative order accompanied by the use of advanced resummation techniques for asymptotic series allows us to find highly accurate numerical estimates of z: for two- and three-dimensional cases we obtain 2.14(2) and 2.0235(8) respectively. The numbers found are in good agreement with recent results obtained using different approaches.

AB - We calculate the dynamical critical exponent z for 2d and 3d Ising universality classes by means of minimally subtracted five-loop ε expansion obtained for the one-component model A. This breakthrough turns out to be possible through the successful adaptation of the Sector Decomposition technique to the problems of critical dynamics. The obtained fifth perturbative order accompanied by the use of advanced resummation techniques for asymptotic series allows us to find highly accurate numerical estimates of z: for two- and three-dimensional cases we obtain 2.14(2) and 2.0235(8) respectively. The numbers found are in good agreement with recent results obtained using different approaches.

KW - Critical dynamic exponent z

KW - Critical dynamics

KW - Multi-loop calculation

KW - Renormalization group

KW - ε expansion

UR - http://www.scopus.com/inward/record.url?scp=85120532122&partnerID=8YFLogxK

U2 - 10.1016/j.physleta.2021.127870

DO - 10.1016/j.physleta.2021.127870

M3 - Article

AN - SCOPUS:85120532122

VL - 425

JO - Physics Letters A

JF - Physics Letters A

SN - 0375-9601

M1 - 127870

ER -

The dynamic critical exponent z for 2d and 3d Ising models from five-loop ε expansion

Аннотация

Предметные области Scopus

Доступ к документу

Другие файлы и ссылки

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Виды деятельности

5-loop Calculation of Critical Exponent z of Model A

5-loop estimates of the critical exponent z in A model

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