0 Gauging the SU ( 2 ) Skyrme model

In this paper the SU(2) Skyrme model is reformulated as a gauge theory. It is done following two different approaches: the unfixing Hamiltonian gauge formalism and a new scheme of gauge Lagrangian reformulation. In the former, the reduced Skyrme model is expressed as a gauge theory without Wess-Zumino(WZ) variables. In the later, it is achieved by using the Faddeev-Jackiw Lagrangian method with the introduction of WZ terms in an unambiguous way. It is a positive feature presenting on these gauge formalisms, not presenting on the BFFT constraints conversion. The procedure of the Dirac first-class constraints is employed to quantize this nonlinear system, generating the energy spectrum. The finding out shows, by all means, the power of the unfixing gauge formalism and the symplectic gauge method when compared with another constraints conversion schemes presenting on the literature.