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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References
J. Z. Simon, Phys. Rev., D41, 3720–3733 (1990).
T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys., 82, No. 1, 451–497 (2010).
D. S. Kaparulin, S. L. Lyakhovich, and A. A. Sharapov, Eur. Phys. J., C74, No. 3072 (2014).
A. De Felice and S. Tsujikawa, Living Rev. Rel., 13, 3 (2010).
D. S. Kaparulin, I. Yu. Karataeva, and S. L. Lyakhovich, Eur. Phys. J., C75, No. 0551 (2015).
D. S. Kaparulin and S. L. Lyakhovich, Russ. Phys. J., 57, No. 11, 91–95 (2014).
D. S. Kaparulin, I. Yu. Karataeva, and S. L. Lyakhovich, Russ. Phys. J., 59, No. 11, 172–177 (2016).
I. Masterov, Nucl. Phys., B902, 95–114 (2016).
I. Masterov, Nucl. Phys., B907, 495–508 (2016).
D. S. Kaparulin, S. L. Lyakhovich, and A. A. Sharapov, J. Phys., A49, No. 155204 (2016).
A. Pais and G. E. Uhlenbeck, Phys. Rev., 79, No. 1, 145–165 (1950).
B. Podolsky, Phys. Rev., 62, No. 1–2, 68–71 (1942).
H. Lu and C. N. Pope, Phys. Rev. Lett., 106, No. 181302 (2011).
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 12, pp. 57–62, December, 2016.
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Kaparulin, D.S., Lyakhovich, S.L. On the Equivalence of Two Approaches to the Construction of Interactions in Higher-Derivative Theories. Russ Phys J 59, 2041–2047 (2017). https://doi.org/10.1007/s11182-017-1012-z
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DOI: https://doi.org/10.1007/s11182-017-1012-z