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Representation of Renormalization Group Functions By Nonsingular Integrals in a Model of the Critical Dynamics of Ferromagnets : The Fourth Order of The ε-Expansion. / Adzhemyan, L. Ts; Vorob’eva, S. E.; Ivanova, E. V.; Kompaniets, M. V.

In: Theoretical and Mathematical Physics(Russian Federation), Vol. 195, No. 1, 01.04.2018, p. 584-594.

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@article{6846d6443174464b9f53be886588446d,
title = "Representation of Renormalization Group Functions By Nonsingular Integrals in a Model of the Critical Dynamics of Ferromagnets: The Fourth Order of The ε-Expansion",
abstract = "Using the representation for renormalization group functions in terms of nonsingular integrals, we calculate the dynamical critical exponents in the model of critical dynamics of ferromagnets in the fourth order of the ε-expansion. We calculate the Feynman diagrams using the sector decomposition technique generalized to critical dynamics problems.",
keywords = "critical parameter, multiloop diagram, renormalization group, ε-expansion, epsilon-expansion",
author = "Adzhemyan, {L. Ts} and Vorob{\textquoteright}eva, {S. E.} and Ivanova, {E. V.} and Kompaniets, {M. V.}",
year = "2018",
month = apr,
day = "1",
doi = "10.1134/S0040577918040104",
language = "English",
volume = "195",
pages = "584--594",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "1",

}

RIS

TY - JOUR

T1 - Representation of Renormalization Group Functions By Nonsingular Integrals in a Model of the Critical Dynamics of Ferromagnets

T2 - The Fourth Order of The ε-Expansion

AU - Adzhemyan, L. Ts

AU - Vorob’eva, S. E.

AU - Ivanova, E. V.

AU - Kompaniets, M. V.

PY - 2018/4/1

Y1 - 2018/4/1

N2 - Using the representation for renormalization group functions in terms of nonsingular integrals, we calculate the dynamical critical exponents in the model of critical dynamics of ferromagnets in the fourth order of the ε-expansion. We calculate the Feynman diagrams using the sector decomposition technique generalized to critical dynamics problems.

AB - Using the representation for renormalization group functions in terms of nonsingular integrals, we calculate the dynamical critical exponents in the model of critical dynamics of ferromagnets in the fourth order of the ε-expansion. We calculate the Feynman diagrams using the sector decomposition technique generalized to critical dynamics problems.

KW - critical parameter

KW - multiloop diagram

KW - renormalization group

KW - ε-expansion

KW - epsilon-expansion

UR - http://www.scopus.com/inward/record.url?scp=85046536590&partnerID=8YFLogxK

UR - http://www.mendeley.com/research/representation-renormalization-group-functions-nonsingular-integrals-model-critical-dynamics-ferroma

U2 - 10.1134/S0040577918040104

DO - 10.1134/S0040577918040104

M3 - Article

AN - SCOPUS:85046536590

VL - 195

SP - 584

EP - 594

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 1

ER -

ID: 36311662