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- Title
Family of instantons of the Kraichnan model with a frozen velocity field.
- Authors
Komarova, M. V.; Kremnev, I. S.; Nalimov, M. Yu.
- Abstract
We find the family of instantons of the Kraichnan model with a frozen velocity field. Using these instantons, we investigate the asymptotic behavior of higher orders of the perturbation theory series constructed for the response function. We demonstrate that although the number of diagrams increases factorially with the degree of the perturbation series term, the perturbation series itself has a finite and sometimes even infinite convergence radius. We thus disprove the commonly accepted view that the type of series convergence can be determined by estimating the number of diagrams in higher orders of the perturbation theory.
- Subjects
PERTURBATION theory; ASYMPTOTIC theory in nonlinear differential equations; INSTANTONS; FIELD theory (Physics); GAUGE field theory; INFINITY (Mathematics)
- Publication
Theoretical & Mathematical Physics, 2009, Vol 158, Issue 2, p167
- ISSN
0040-5779
- Publication type
Article
- DOI
10.1007/s11232-009-0014-6