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arXiv · hep-th/0701262

Hamilton-Jacobi Approach for First Order Actions and Theories with Higher Derivatives

M. C. Bertin·B. M. Pimentel·P. J. Pompeia
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Abstract

In this work we analyze systems described by Lagrangians with higher order derivatives in the context of the Hamilton-Jacobi formalism for first order actions. Two different approaches are studied here: the first one is analogous to the description of theories with higher derivatives in the hamiltonian formalism according to [Sov. Phys. Journ. 26 (1983) 730; the second treats the case where degenerate coordinate are present, in an analogy to reference [Nucl. Phys. B 630 (2002) 509]. Several examples are analyzed where a comparison between both approaches is made.

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M. C. Bertin, B. M. Pimentel, P. J. Pompeia. 2007-01-29. Hamilton-Jacobi Approach for First Order Actions and Theories with Higher Derivatives. https://doi.org/10.1016/j.aop.2007.11.003

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