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Convergence of perturbation series for renormalization constants in Kraichnan model with "frozen" velocity field. / Komarova, Marina V.; Kremnev, Ilya S.; Nalimov, Mikhail Yu.

In: European Physical Journal C, Vol. 71, No. 5, 2011, p. 1646-1655.

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@article{f5b19a0d4e15400a9eae3ca437356dd8,
title = "Convergence of perturbation series for renormalization constants in Kraichnan model with {"}frozen{"} velocity field",
abstract = "An instanton for the Kraichnan model with a 'frozen' velocity field is found. High order asymptotics of the quantum-field perturbation expansion for the renormalization constant $Z_\nu$ are investigated. It is shown that this expansion is a convergent one, and the radius of convergence is calculated.",
keywords = "instanton analysis -- renormalization group -- Kraichnan model -- high-order asymptotics",
author = "Komarova, {Marina V.} and Kremnev, {Ilya S.} and Nalimov, {Mikhail Yu.}",
year = "2011",
doi = "10.1140/epjc/s10052-011-1646-x",
language = "English",
volume = "71",
pages = "1646--1655",
journal = "European Physical Journal C",
issn = "1434-6044",
publisher = "Springer Nature",
number = "5",

}

RIS

TY - JOUR

T1 - Convergence of perturbation series for renormalization constants in Kraichnan model with "frozen" velocity field

AU - Komarova, Marina V.

AU - Kremnev, Ilya S.

AU - Nalimov, Mikhail Yu.

PY - 2011

Y1 - 2011

N2 - An instanton for the Kraichnan model with a 'frozen' velocity field is found. High order asymptotics of the quantum-field perturbation expansion for the renormalization constant $Z_\nu$ are investigated. It is shown that this expansion is a convergent one, and the radius of convergence is calculated.

AB - An instanton for the Kraichnan model with a 'frozen' velocity field is found. High order asymptotics of the quantum-field perturbation expansion for the renormalization constant $Z_\nu$ are investigated. It is shown that this expansion is a convergent one, and the radius of convergence is calculated.

KW - instanton analysis -- renormalization group -- Kraichnan model -- high-order asymptotics

U2 - 10.1140/epjc/s10052-011-1646-x

DO - 10.1140/epjc/s10052-011-1646-x

M3 - Article

VL - 71

SP - 1646

EP - 1655

JO - European Physical Journal C

JF - European Physical Journal C

SN - 1434-6044

IS - 5

ER -

ID: 5126329