Standard

Diagram reduction in problem of critical dynamics of ferromagnets : 4-loop approximation. / Adzhemyan, L. Ts; Ivanova, E. V.; Kompaniets, M. V.; Vorobyeva, S. Ye.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 51, No. 15, 155003, 13.04.2018.

Research output: Contribution to journal › Article › peer-review

Harvard

Adzhemyan, LT, Ivanova, EV, Kompaniets, MV & Vorobyeva, SY 2018, 'Diagram reduction in problem of critical dynamics of ferromagnets: 4-loop approximation', Journal of Physics A: Mathematical and Theoretical, vol. 51, no. 15, 155003. https://doi.org/10.1088/1751-8121/aab20f

APA

Adzhemyan, L. T., Ivanova, E. V., Kompaniets, M. V., & Vorobyeva, S. Y. (2018). Diagram reduction in problem of critical dynamics of ferromagnets: 4-loop approximation. Journal of Physics A: Mathematical and Theoretical, 51(15), [155003]. https://doi.org/10.1088/1751-8121/aab20f

Vancouver

Adzhemyan LT, Ivanova EV, Kompaniets MV, Vorobyeva SY. Diagram reduction in problem of critical dynamics of ferromagnets: 4-loop approximation. Journal of Physics A: Mathematical and Theoretical. 2018 Apr 13;51(15). 155003. https://doi.org/10.1088/1751-8121/aab20f

Author

Adzhemyan, L. Ts ; Ivanova, E. V. ; Kompaniets, M. V. ; Vorobyeva, S. Ye. / Diagram reduction in problem of critical dynamics of ferromagnets : 4-loop approximation. In: Journal of Physics A: Mathematical and Theoretical. 2018 ; Vol. 51, No. 15.

BibTeX

@article{0242117dda434bc898b2a7a70e081fc8,
title = "Diagram reduction in problem of critical dynamics of ferromagnets: 4-loop approximation",
abstract = "Within the framework of the renormalization group approach to the models of critical dynamics, we propose a method for a considerable reduction of the number of integrals needed to calculate the critical exponents. With this method we perform a calculation of the critical exponent z of model A at 4-loop level, where our method allows one to reduce the number of integrals from 66 to 17. The way of constructing the integrand in a Feynman representation of such diagrams is discussed. Integrals were estimated numerically with a sector decomposition technique.",
keywords = "critical exponents, multi-loop diagrams, renormalization group, ϵ-expansion, EXPONENTS, e-expansion, FIELD-THEORY, MODEL, HELIUM, RENORMALIZATION",
author = "Adzhemyan, {L. Ts} and Ivanova, {E. V.} and Kompaniets, {M. V.} and Vorobyeva, {S. Ye}",
year = "2018",
month = apr,
day = "13",
doi = "10.1088/1751-8121/aab20f",
language = "English",
volume = "51",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "15",

}

RIS

TY - JOUR

T1 - Diagram reduction in problem of critical dynamics of ferromagnets

T2 - 4-loop approximation

AU - Adzhemyan, L. Ts

AU - Ivanova, E. V.

AU - Kompaniets, M. V.

AU - Vorobyeva, S. Ye

PY - 2018/4/13

Y1 - 2018/4/13

N2 - Within the framework of the renormalization group approach to the models of critical dynamics, we propose a method for a considerable reduction of the number of integrals needed to calculate the critical exponents. With this method we perform a calculation of the critical exponent z of model A at 4-loop level, where our method allows one to reduce the number of integrals from 66 to 17. The way of constructing the integrand in a Feynman representation of such diagrams is discussed. Integrals were estimated numerically with a sector decomposition technique.

AB - Within the framework of the renormalization group approach to the models of critical dynamics, we propose a method for a considerable reduction of the number of integrals needed to calculate the critical exponents. With this method we perform a calculation of the critical exponent z of model A at 4-loop level, where our method allows one to reduce the number of integrals from 66 to 17. The way of constructing the integrand in a Feynman representation of such diagrams is discussed. Integrals were estimated numerically with a sector decomposition technique.

KW - critical exponents

KW - multi-loop diagrams

KW - renormalization group

KW - ϵ-expansion

KW - EXPONENTS

KW - e-expansion

KW - FIELD-THEORY

KW - MODEL

KW - HELIUM

KW - RENORMALIZATION

UR - http://www.scopus.com/inward/record.url?scp=85047748472&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/diagram-reduction-problem-critical-dynamics-ferromagnets-4loop-approximation

U2 - 10.1088/1751-8121/aab20f

DO - 10.1088/1751-8121/aab20f

M3 - Article

AN - SCOPUS:85047748472

VL - 51

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 15

M1 - 155003

ER -

ID: 36311507