Obtenção de teorias de calibre não abelianas via formalismo simplético de Faddeev-Jackiw

Abstract

In this work our objective is to construct nom-Abelian eld theories starting from well-known Abelian ones. To accomplish this task we used the Faddeev- Jackiw method so-called in the literature as the symplectic formalism. The path to obtain this non-Abelianity is to modify the original Abelian theories in order to introduce conveniently the non-Abelian algebra. In this way we obtained two non-Abelian theories, i. e. , the SU(2) and SU(2) U(1) Yang-Mills theories. The starting pont was the Abelian U(1) Maxwell eletromagnetic theory. Although these cost results are very well-known, the idea is to use the Faddeev-Jackiw method to carry out it. In other words, these results show a new interpretation and a new procedure for the method.