Quantization of the nonlinear. sigma. model and the Skyrme model
- Division of Fundamental Science and Technology, Graduate School of Science and Technology, Niigata University, Niigata 950-21, Japan (JP)
- Department of Physics, Niigata University, Niigata 950-21, Japan (JP)
We detail the derivation of the general covariant quantum Hamiltonian for the nonlinear {sigma} model by introducing collective coordinates for the quantization of vibrational and rotational modes. The stability of the quantum state in the nonlinear {sigma} model is analytically and numerically investigated by the variational treatment of the profile function. We show that in the pure nonlinear {sigma} model without a Skyrme term, the stabilization against collapse of the state cannot be achieved with the quantum fluctuation effect of the vibrational mode only, but needs a stabilizing term added to the model Lagrangian. We also find that the Skyrme term is a suitable candidate for the stabilizer. It is shown that there is a stable solution with rotational motion in the Skryme model. The calculated values of the physical quantities (mass, rms radius, and baryon density) for a Skyrmion are given. It is also shown that the present results are very similar to those obtained with the rotating model of the static Skyrme soliton.
- OSTI ID:
- 5592134
- Journal Information:
- Physical Review, D (Particles Fields); (USA), Vol. 44:1; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
BARYONS
SIGMA MODEL
FOUR-DIMENSIONAL CALCULATIONS
HAMILTONIAN FUNCTION
LAGRANGIAN FUNCTION
NONLINEAR PROBLEMS
QUANTIZATION
SOLITONS
BOSON-EXCHANGE MODELS
ELEMENTARY PARTICLES
FERMIONS
FUNCTIONS
HADRONS
MATHEMATICAL MODELS
PARTICLE MODELS
PERIPHERAL MODELS
QUASI PARTICLES
645400* - High Energy Physics- Field Theory