BRST Symmetry and de Rham Cohomology

Dirac quantization and baryon intrinsic frequencies in hypersphere soliton model

“…The model predictions of phenomenological soliton have been shown to include rigorous treatments of geometrical constraints because these constraints affect the predictions themselves [10]. Motivated by this, we consider the first class Dirac formalism [9,10].…”

“…The model predictions of phenomenological soliton have been shown to include rigorous treatments of geometrical constraints because these constraints affect the predictions themselves [10]. Motivated by this, we consider the first class Dirac formalism [9,10]. Before we study the first class formalism, we digress to note that, in the hypersphere soliton, we have the second class constraints…”

“…The Dirac Hamiltonian scheme has been developed [9,10], to convert the second class constraints into the first class ones. Moreover, exploiting the Dirac quantization in the first class formalism, there have been attempts to quantize the constrained systems [10].…”

“…The Dirac Hamiltonian scheme has been developed [9,10], to convert the second class constraints into the first class ones. Moreover, exploiting the Dirac quantization in the first class formalism, there have been attempts to quantize the constrained systems [10]. The standard Skyrmion model [8,[10][11][12] which is the constrained Hamiltonian system, has been exploited [12] to investigate baryon kinematics and predict its physical properties.…”

“…Moreover, exploiting the Dirac quantization in the first class formalism, there have been attempts to quantize the constrained systems [10]. The standard Skyrmion model [8,[10][11][12] which is the constrained Hamiltonian system, has been exploited [12] to investigate baryon kinematics and predict its physical properties. In this model, the three dimensional physical space is assumed to be topologically compactified to S 3 and the spatial infinity is located on the northpole of S 3 .…”