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Asymptotic behavior of renormalization constants in higher orders of the perturbation expansion for the (4-∈)-dimensionally regularized O(n)-symmetric ø4 theory. / Komarova, M. V.; Nalimov, M. Yu.

в: Theoretical and Mathematical Physics, Том 126, № 3, 01.03.2001, стр. 339-353.

Результаты исследований: Научные публикации в периодических изданияхстатьяРецензирование

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@article{cfd39b33aee74011a3fc1a04ee4a3242,
title = "Asymptotic behavior of renormalization constants in higher orders of the perturbation expansion for the (4-∈)-dimensionally regularized O(n)-symmetric {\o}4 theory",
abstract = "Higher-order asymptotic expansions for renormalization constants and critical exponents of the O(n)-symmetric {\o}4 theory are found based on the instanton approach in the minimal subtraction scheme for the (4-∈)-dimensional regularization. The exactly known expansion terms differ substantially from their asymptotic values. We find expressions that improve the asymptotic expansions for unknown expansion terms of the renormalization constants.",
author = "Komarova, {M. V.} and Nalimov, {M. Yu}",
year = "2001",
month = mar,
day = "1",
doi = "10.1023/A:1010367917876",
language = "English",
volume = "126",
pages = "339--353",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Asymptotic behavior of renormalization constants in higher orders of the perturbation expansion for the (4-∈)-dimensionally regularized O(n)-symmetric ø4 theory

AU - Komarova, M. V.

AU - Nalimov, M. Yu

PY - 2001/3/1

Y1 - 2001/3/1

N2 - Higher-order asymptotic expansions for renormalization constants and critical exponents of the O(n)-symmetric ø4 theory are found based on the instanton approach in the minimal subtraction scheme for the (4-∈)-dimensional regularization. The exactly known expansion terms differ substantially from their asymptotic values. We find expressions that improve the asymptotic expansions for unknown expansion terms of the renormalization constants.

AB - Higher-order asymptotic expansions for renormalization constants and critical exponents of the O(n)-symmetric ø4 theory are found based on the instanton approach in the minimal subtraction scheme for the (4-∈)-dimensional regularization. The exactly known expansion terms differ substantially from their asymptotic values. We find expressions that improve the asymptotic expansions for unknown expansion terms of the renormalization constants.

UR - http://www.scopus.com/inward/record.url?scp=0035537266&partnerID=8YFLogxK

U2 - 10.1023/A:1010367917876

DO - 10.1023/A:1010367917876

M3 - Article

AN - SCOPUS:0035537266

VL - 126

SP - 339

EP - 353

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 37034885