Hamiltonian Quantization and BRST Symmetry of Skyrmion Models

In this chapter, in the framework of Dirac quantization, SU(2) Skyrmion is canonically quantized to yield modified predictions of static properties of baryons. We show that the energy spectrum of this Skyrmion obtained by the Dirac quantization method with a suggestion of generalized momenta is consistent with result of the improved Dirac Hamiltonian formalism [42]. We next apply the improved Dirac Hamiltonian method to the SU(2) Skyrmion and directly obtain the first class Hamiltonian. We also find that Poisson brackets of first class physical fields in extended phase space have the same structure as the well known Dirac brackets. Furthermore, in this improved Dirac Hamiltonian scheme, effects of Weyl ordering correction on a baryon energy spectrum are shown to modify static properties of baryons.