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On the equivalence of two approaches to the construction of interactions in higher-derivative theories D. S. Kaparulin, S. L. Lyakhovich

By: Kaparulin, Dmitry SContributor(s): Lyakhovich, Simon LMaterial type: ArticleArticleSubject(s): высшие производные | нелинейные взаимодействия | нелинейные моделиGenre/Form: статьи в журналах Online resources: Click here to access online In: Russian physics journal Vol. 59, № 12. P. 2041-2047Abstract: It is shown that two previously developed approaches to the construction of nonlinear interactions in higher-derivative theories (Eur. Phys. J., C74 (2014); J. Phys., A49 (2016)) lead to equivalent nonlinear models. A substitution of variables that is invertible on the mass shell is presented, which maps the classical trajectories of one of the models onto the trajectories of the other model.
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It is shown that two previously developed approaches to the construction of nonlinear interactions in higher-derivative theories (Eur. Phys. J., C74 (2014); J. Phys., A49 (2016)) lead to equivalent nonlinear models. A substitution of variables that is invertible on the mass shell is presented, which maps the classical trajectories of one of the models onto the trajectories of the other model.

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