Symmetry transform in the Faddeev-Jackiw quantization of dual models

Details Symmetry transform in the Faddeev-Jackiw quantization of dual models Symmetry transform in the Faddeev-Jackiw quantization of dual models

2000-09-22

arxiv.org/abs/hep-th/0009179v1

Phys.Rev. D59 (1999) 065016

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, RevTex file, no figure

Scientific paper

10.1103/PhysRevD.59.065016

We study the presence of symmetry transformations in the Faddeev-Jackiw approach for constrained systems. Our analysis is based in the case of a particle submitted to a particular potential which depends on an arbitrary function. The method is implemented in a natural way and symmetry generators are identified. These symmetries permit us to obtain the absent elements of the sympletic matrix which complement the set of Dirac brackets of such a theory. The study developed here is applied in two different dual models. First, we discuss the case of a two-dimensional oscillator interacting with an electromagnetic potential described by a Chern-Simons term and second the Schwarz-Sen gauge theory, in order to obtain the complete set of non-null Dirac brackets and the correspondent Maxwell electromagnetic theory limit.

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