Gauging the SU(2) Skyrme model

Abstract

In this paper the SU(2) Skyrme model will be reformulated as a gauge theory and the hidden symmetry will be investigated and explored in the energy spectrum computation. To this end we purpose a new constraint conversion scheme, based on the symplectic framework with the introduction of Wess-Zumino (WZ) terms in an unambiguous way. It is a positive feature not present on the BFFT constraint conversion. The Dirac's procedure for the first-class constraints is employed to quantize this gauge invariant nonlinear system and the energy spectrum is computed. The finding out shows the power of the symplectic gauge-invariant formalism when compared with another constraint conversion procedures present on the literature.

revised version, to appear in Phys.Rev.D

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• Stückelberg Field Shiftting Quantization of Free-Particle on D-Dimensional Sphere
• Symmetries of SU(2) Skyrmion in Hamiltonian and Lagrangian approaches
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