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arXiv · 0912.2974

Obtaining non-Abelian field theories via Faddeev-Jackiw symplectic formalism

E. M. C. Abreu·A. C. R. Mendes·C. Neves·W. Oliveira·R. C. N. Silva·C. Wotzasek
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Abstract

In this work we have shown that it is possible to construct non-Abelian field theories employing, in a systematic way, the Faddeev-Jackiw symplectic formalism. This approach follows two steps. In the first step, the original Abelian fields are modified in order to introduce the non-Abelian algebra. After that, the Faddeev-Jackiw method is implemented and the gauge symmetry relative to some non-Abelian symmetry group, is introduced through the zero-mode of the symplectic matrix. We construct the SU(2) and SU(2)xU(1) Yang-Mills theories having as starting point the U(1) Maxwell electromagnetic theory.

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E. M. C. Abreu, A. C. R. Mendes, C. Neves, W. Oliveira, R. C. N. Silva, C. Wotzasek. 2009-12-15. Obtaining non-Abelian field theories via Faddeev-Jackiw symplectic formalism. https://doi.org/10.1016/j.physleta.2010.07.006

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