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Symmetry transform in the Faddeev-Jackiw quantization of dual models

C. P. Natividade·A. de Souza Dutra·H. Boschi-Filho
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Abstract

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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C. P. Natividade, A. de Souza Dutra, H. Boschi-Filho. 2000-09-22. Symmetry transform in the Faddeev-Jackiw quantization of dual models. https://doi.org/10.1103/physrevd.59.065016

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