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

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

2007-01-29

arxiv.org/abs/hep-th/0701262v1

Annals Phys.323:527-547,2008

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

10.1016/j.aop.2007.11.003

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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