Operatorial quantization of Born-Infeld Skyrmion model and hidden symmetries

Details Operatorial quantization of Born-Infeld Skyrmion model and hidden symmetries Operatorial quantization of Born-Infeld Skyrmion model and hidden symmetries

2001-05-15

arxiv.org/abs/hep-th/0105146v1

J.Phys.A34:5117,2001

Physics

High Energy Physics

High Energy Physics - Theory

A new version of hep-th/9901133. To appear in JPA

Scientific paper

10.1088/0305-4470/34/24/310

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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