Faddeev-Jackiw Formalism for a Topological-Like Oscillator in Planar Dimensions

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 ChernSimons 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. ͓S0556-2821͑99͒04804-3͔

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Symmetry transform in Faddeev-Jackiw quantization of dual models

Natividade

Dutra

Boschi-Filho

1999

Phys. Rev. D

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Faddeev-Jackiw Formalism for a Topological-Like Oscillator in Planar Dimensions

Abstract: The problem of a harmonic oscillator coupling to an electromagnetic potential plus a topological-like (Chern-Simons) massive term, in two-dimensional space, is studied in the light of the symplectic formalism proposed by Faddeev and Jackiw for constrained systems.

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Symmetry transform in Faddeev-Jackiw quantization of dual models

Symmetry transform in Faddeev-Jackiw quantization of dual models

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