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arxiv: 0911.4673 · v2 · submitted 2009-11-24 · ❄️ cond-mat.stat-mech

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

classification ❄️ cond-mat.stat-mech
keywords convergenceexpansionfieldfrozenkraichnanmodelperturbationrenormalization
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Instanton was found for Kraichnan model with 'frozen' velocity field. Large order asymptotic of quantum-field perturbation expansion for renormalization constant $Z_\nu$ was investigated. It was shown that this expansion is convergent one. The radius of convergence was calculated.

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