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Asymptotic behavior of higher-order perturbations : Scaling functions of the O(n)-symmetric φ4-theory in the (4-∈)-expansion. / Komarova, M. V.; Nalimov, M. Yu.

In: Theoretical and Mathematical Physics, Vol. 129, No. 3, 01.12.2001, p. 1631-1644.

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@article{35e3f31b58aa40478a8fdd94bfec7ae9,
title = "Asymptotic behavior of higher-order perturbations: Scaling functions of the O(n)-symmetric φ4-theory in the (4-∈)-expansion",
abstract = "We use an instantonic approach to calculate the asymptotic behavior of higher orders of the (4-∈)-expansion for the scaling function of the pair correlator of the O(n)-syrnmetric φ4-theory in the minimal subtraction scheme. Our results differ substantially from the known exact expression for the ∈3 order of the expansion of the scaling function in the small-τ domain.",
author = "Komarova, {M. V.} and Nalimov, {M. Yu}",
year = "2001",
month = dec,
day = "1",
doi = "10.1023/A:1013007232713",
language = "English",
volume = "129",
pages = "1631--1644",
journal = "Theoretical and Mathematical Physics (Russian Federation)",
issn = "0040-5779",
publisher = "Springer Nature",
number = "3",

}

RIS

TY - JOUR

T1 - Asymptotic behavior of higher-order perturbations

T2 - Scaling functions of the O(n)-symmetric φ4-theory in the (4-∈)-expansion

AU - Komarova, M. V.

AU - Nalimov, M. Yu

PY - 2001/12/1

Y1 - 2001/12/1

N2 - We use an instantonic approach to calculate the asymptotic behavior of higher orders of the (4-∈)-expansion for the scaling function of the pair correlator of the O(n)-syrnmetric φ4-theory in the minimal subtraction scheme. Our results differ substantially from the known exact expression for the ∈3 order of the expansion of the scaling function in the small-τ domain.

AB - We use an instantonic approach to calculate the asymptotic behavior of higher orders of the (4-∈)-expansion for the scaling function of the pair correlator of the O(n)-syrnmetric φ4-theory in the minimal subtraction scheme. Our results differ substantially from the known exact expression for the ∈3 order of the expansion of the scaling function in the small-τ domain.

UR - http://www.scopus.com/inward/record.url?scp=0035528167&partnerID=8YFLogxK

U2 - 10.1023/A:1013007232713

DO - 10.1023/A:1013007232713

M3 - Article

VL - 129

SP - 1631

EP - 1644

JO - Theoretical and Mathematical Physics (Russian Federation)

JF - Theoretical and Mathematical Physics (Russian Federation)

SN - 0040-5779

IS - 3

ER -

ID: 5207341