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

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

2009-12-15

arxiv.org/abs/0912.2974v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pages. Revtex 4.1

Scientific paper

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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