A new method to deal with constraints in the context of the Faddeev-Jackiw method to treat constrained systems

摘要

Constrained systems play an important role in modern field theory. In this paper, it has been pointed out that the symplectic algorithm, which is an extension of the Faddeev-Jackiw method for dealing with constraints, is not strict in mathematics, and may lead to wrong results for some systems. A new method has been proposed to deal with constraints in the context of the Faddeev-Jackiw method. Our method is more rigorous and simpler than the symplectic algorithm. The procedure of our method and some errors of the symplectic algorithm are demonstrated using Cawley's second counterexample to Dirac's conjecture. [References: 13]