Coherent State Description of Extended Objects : Stability and Orthonormality Problems
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概要
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A convenient method of describing an extended object in quantum field theory, which is regarded as a hadron, is presented. We describe the extended object by a coherent state and treat it on the basis of a variational approximation. The stability and orthogonality problems which are crucial in any attempt to render a physical significance to such a coherent state are investigated. From the stability condition, it is shown that only the models which induce the spontaneous breakdown of symmetry have a stable coherent state. We also show that several topological conservation laws can be understood as a reflection of the orthogonality properties of the Hilbert space. As simple examples, we discuss a self-coupled neutral scalar model, a charged scalar model, the Higgs model and the O(3) iso-triplet scalar model.
- 理論物理学刊行会の論文
- 1976-02-25
著者
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Ishikawa Kenzo
Department Of Physics Tohoku University
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Ishikawa Kenzo
Department Of Physics Tohoku University:institute For Nuclear Study University Of Tokyo
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Ishikawa Kenzo
Deparment Of Physics Hokkaido University
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Ishikawa Kenichi
Science And Engineering Research Laboratory Waseda University
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ISHIKAWA Kenzo
Department of Physics, Tohoku University:Institute for Nuclear Study, University of Tokyo
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