English

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

High Energy Physics - Theory 2009-01-30 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0701262,
  title  = {Hamilton-Jacobi Approach for First Order Actions and Theories with Higher Derivatives},
  author = {M. C. Bertin and B. M. Pimentel and P. J. Pompeia},
  journal= {arXiv preprint arXiv:hep-th/0701262},
  year   = {2009}
}