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

摘要

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.