First Order Actions: a New View
arXiv:hep-th/0503064 · doi:10.1142/S0217732305018323
Abstract
We analyse systems described by first order actions using the Hamilton-Jacobi (HJ) formalism for singular systems. In this study we verify that generalized brackets appear in a natural way in HJ approach, showing us the existence of a symplectic structure in the phase spaces of this formalism.