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Operatorial quantization of Born-Infeld Skyrmion model and hidden symmetries

J. Ananias Neto·C. Neves·E. R. de Oliveira·W. Oliveira
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Abstract

The SU(2) collective coordinates expansion of the Born-Infeld\break Skyrmion Lagrangian is performed. The classical Hamiltonian is computed from this special Lagrangian in approximative way: it is derived from the expansion of this non-polynomial Lagrangian up to second-order variable in the collective coordinates. This second-class constrained model is quantized by Dirac Hamiltonian method and symplectic formalism. Although it is not expected to find symmetries on second-class systems, a hidden symmetry is disclosed by formulating the Born-Infeld Skyrmion %model as a gauge theory. To this end we developed a new constraint conversion technique based on the symplectic formalism. Finally, a discussion on the role played by the hidden symmetry on the computation of the energy spectrum is presented.

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J. Ananias Neto, C. Neves, E. R. de Oliveira, W. Oliveira. 2001-05-15. Operatorial quantization of Born-Infeld Skyrmion model and hidden symmetries. https://doi.org/10.1088/0305-4470%2F34%2F24%2F310

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