A Remark on the Condition, Z_3=0 : Case of Many Particles with Identical Quantum Numbers

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概要

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• The Z_3 factors for particles with the same quantum numbers are investigated. In the presence of many particles in the same channel there are two kinds of renormalization constants corresponding to the Z_3 factor of the one-particle case. One of these (denoted by C_<ij>) is the generalization of the wave function renormalization constant and the other (denoted by Z_<ij>) is that of the propagator renormalization constant. The relation between Z_<ij> and C_<ij> is given. Properties of Z_<ij> and C_<ij> are discussed with particular attention to the limit, Z_<ij>=0. It is shown that Σ__i|C_<ij>|^2, which represents the probability of bare states in the j-th physical one, is always different from zero. A certain peculiar situation not known in the one-particle case arises.

• 理論物理学刊行会の論文
• 1966-05-25

著者

• Yabuki Haruichi

  Institute Of Physics College Of General Education University Of Tokyo

• Yabuki H.

  Institute For Hydrospheric-atmospheric Sciences Nagoya University

• Yabuki H.

  Institute of Physics, College of General Education University of Tokyo

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