Inevitable Surface Dependence of Some Operator Products and Integrability
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概要
- 論文の詳細を見る
In general even in local theory the operator products at the same space-time point must be considered as a limit of non-local products. It is natural to confine non-locality on a space-like surface. In this case some operator products with three or more constituents possess an inevitable and purely quantum-mechanical surface dependence. Taking the pionnucleon system as an example, we explicitly calculate in the order of g^2 this kind of the surface dependence of the interaction Hamiltonian. In order to obtain a consistent theory, this surface is required to be identified with the space-like surface in the Tomonaga-Schwinger equation. Then the interaction Hamiltonian needs an additional, non-canonical and surface-dependent term, which can be derived uniquely from the canonical Hamiltonian. The integrability of the Tomonaga-Schwinger equation is proved by taking account of this surface dependence together with the gradient term in the equal-time commutator.
- 理論物理学刊行会の論文
- 1976-01-25
著者
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Yamamoto K
Department Of Physics Hiroshima University
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Tanaka Azuma
Department Of Physics Osaka University
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Tanaka Azuma
Department Of Physics Faculty Of General Education Osaka Institute Of Technology
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Yamamoto Kunio
Institute Of Physics College Of General Education Osaka University
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SHIGEMOTO Kazuyasu
Department of Physics, Osaka University
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SHITEMOTO Kazuyasu
Faculty of Liberal Arts, Tezukayama University
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SHIGEMOTO Kazuyasu
Faculty of Liberal Arts, Tezukayama University
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TAGUCHI Yukio
Department of Methematical Sciences University of Osak prefecture
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Tanaka Atushi
Department Of Physics Tokyo Metropolitan University
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Shigemoto Kazuyasu
Department Of Physics Kyoto Prefectural University Of Medicine
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TANAKA Akiko
Department of Physics, Kyoto Sangyo University
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YAMAMOTO Katsuji
Institute of Field Physics, Department of Physics and Astronomy University of North Carolina
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SHIGEMOTO Kazuyasu
Department of Liberal Arts, Tezukayama University
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SHIGEMOTO Kazuyasu
Department of Physics, Tezukayama University
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SHIGEMOTO Kazuyasu
Department of Physics, Kyoto Prefectural University of Medicine
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YAMAMOTO Kazuhiro
Department of Physical Science, Hiroshima University
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Tanaka Azuma
Research Center for Nuclear Physics (RCNP), Osaka University
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