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Phys. Rev. D 59, 065016 (1999) [9 pages]

Symmetry transform in Faddeev-Jackiw quantization of dual models

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C. P. Natividade
Instituto de Física, Universidade Federal Fluminense, Avenida Litorânea s/n, Boa Viagem, Niterói, 24210-340 Rio de Janeiro, Brazil
Departamento de Física e Química, Universidade Estadual Paulista, Avenida Ariberto Pereira da Cunha 333, Guaratinguetá, 12500-000 São Paulo, Brazil

A. de Souza Dutra
Departamento de Física e Química, Universidade Estadual Paulista, Avenida Ariberto Pereira da Cunha 333, Guaratinguetá, 12500-000 São Paulo, Brazil

H. Boschi-Filho
Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, Rio de Janeiro, 21945-970 Rio de Janeiro, Brazil

Received 20 October 1998; published 23 February 1999

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.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.065016
DOI:
10.1103/PhysRevD.59.065016
PACS:
11.10.Kk, 11.15.Tk