Chapter I Quantization of Chiral Solitons in Collective-Coordinate Approach

概要

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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 Rp 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.
理論物理学刊行会の論文
1992-09-10