Convergence of perturbation series for renormalization constants in Kraichnan model with “frozen” velocity field

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 ν are investigated. It is shown that this expansion is convergent, and the radius of convergence is calculated.

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Bibliographic Details
Published inThe European physical journal. C, Particles and fields Vol. 71; no. 5; pp. 1 - 10
Main Authors Komarova, Marina V., Kremnev, Ilya S., Nalimov, Mikhail Yu
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.05.2011
Springer
Springer Nature B.V
Subjects
Astronomy
Astrophysics and Cosmology
Asymptotic properties
Constants
Convergence
Elementary Particles
Freezing
Frozen
Hadrons
Heavy Ions
Instantons
Mathematical models
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Perturbation
Perturbation methods
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
String Theory
Velocity distribution
Perturbation Series
Composite Operator
Renormalization Constant
Perturbation Expansion
Green Function
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Summary: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 ν are investigated. It is shown that this expansion is convergent, and the radius of convergence is calculated.
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ISSN:1434-6044
1434-6052
DOI:10.1140/epjc/s10052-011-1646-x