Regular Article - Theoretical Physics
Convergence of perturbation series for renormalization constants in Kraichnan model with “frozen” velocity field
St. Petersburg State University, Physical Faculty, Ulyanovskaya Street, 3, 198504, Petrodvorets, St. Petersburg, Russia
2 Institute for Analytical Instrumentation RAS, Rizhsky Prospect, 26, 198103, St. Petersburg, Russia
* e-mail: Mikhail.Nalimov@pobox.spbu.ru
Published online: 19 May 2011
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.
© Springer-Verlag / Società Italiana di Fisica, 2011