Quantization of chiral solitons in collective - coordinate approach
199217 pages
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- Prog.Theor.Phys.Suppl. 109 (1992) 1-17
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Abstract: (Oxford Journals)
The purpose of the present chapter is to consider the canonical quantization of the nonlinear σ-model in the framework of the collective-coordinate approach. In §1, we explain the intrinsic formulation of the SU(2) and SU(3) cases with the SU(2) hedgehog-type static configuration. Here the word “intrinsic” means to utilize from the beginning the minimum number of parameters to specify the collective coordinates. In §2, we give the embedding formulation, where a Riemannian manifold M_n with dimension n is embedded in a Euclidean space R_p under some constraints, and explain the structure of quantum effect which depends on the geometry of space. This formulation is applied to the Skyrme model. In §3 we examine the quantization of a model with a hidden local symmetry as a simple example of quantization on a coset space, and finally some remarks and discussions including forms of quantum potentials will be given.- field equations: soliton
- sigma model: nonlinear
- quantization
- symmetry: SU(2)
- symmetry: SU(3)
- hidden symmetry: local
- symmetry: chiral
- Skyrme model
- embedding
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