Bi-Local Field Equation Out of Bethe-Salpeter Equation
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概要
- 論文の詳細を見る
The bi-local (BL) field equations offer a useful phenomenological approach to two-body bound state problems by means of relativistic potentials, although their field theoretical basis is obscure. On the other hand, the Bethe-Salpeter (BS) equation for two-body bound states is obtained under an approximation within the framework of field theory. In somecases, the BS equations are known to be reduced to the BL field equations, since the order of the BS equations is higher than that of the BL field equations as differential equations. In this paper, we attempt to find a systematic method of reduction by regarding those equations as constaints in the homogeneous canonical formalism (HCF). It is shown that if the interaction kernel contains a delta function representing an instantaneous interaction, then reduction is possible even for the BS equation for two-body scalar fields. Discussion is also given on the relation between the normalization of the BS amplitude and that of the reduced BL field.
- 理論物理学刊行会の論文
- 2000-04-25
著者
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SATO Yoshitaka
Department of Applied Chemistry and Molecular Science, Faculty of Engineering, Iwate University
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Sato Y
Department Of Physics College Of Science And Technology Nihon University
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NAKA Shigefumi
Department of Physics, College of Science and Technology Nihon University
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Naka Shigefumi
Department Of Physics And Atomic Energy Research Institute Callege Of Science And Technology Nihon U
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Sato Yoshitaka
Department Of Applied Chemistry And Molecular Science Faculty Of Engineering Iwate University
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Naka Shigefumi
Department Of Physics And Atomic Energy Reseach Institute College Of Science And Technology Nihon Un
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SATO Yoshitaka
Department of Physics, College of Science and Technology Nihon University
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Naka Shigehumi
Department of Physics, College of Science and Technology Nihon University
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