The Strong Coupling Theory of a Chiral Four Fermion Interaction

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概要

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• The theory of the strong coupling limit is developed for the chiral four fermion interaction L_<int>=-g_0{(ψ^^-ψ)^2-(ψ^^-γ_5ψ)^2} using the same approximation as in the superconductor model of elementary particles proposed by Nambu and Jona-Lasinio. The validity of their model is studied. The physical meaning of their model is clearly interpreted. In particular, the state vectors of their model are interpreted as wave packets in the space of the phase which is canonically conjugate to the chirality ; the packets spread out in the short time 1/m even in the limit of infinite normalization volume. This fact seems to contradict the usual belief that the Nambu-Jona-Lasinio treatment becomes exact in the limit of infinite normalization volume. The strong coupling theory is then extended to an SU(3) invariant model. It asserts that it is the symmetric solution (with a finite fermion mass) which should be physical rather than the spontaneous SU(3)-symmetry-breaking solutions. A very detailed comparison are also carried out between the Numbu-Jona-Lasinio theory and the strong coupling theory in the limit of infinite volume.

• 理論物理学刊行会の論文
• 1966-10-25

著者

• KIKKAWA Keiji

  Department of Physics, Osaka University

• Kikkawa Keiji

  Department Of Physics Osaka University

• ICHIMURA Munetake

  Department of Physics and Atomic Energy Research Institute College of Science and Engineering, Nihon

• YAZAKI Koichi

  Institute of Physics, College of General Education University of Tokyo

• Yazaki Koichi

  Institute Of Physics College Of General Education University Of Tokyo

• Ichimura Munetake

  Department Of Physics And Atomic Energy Research Institute College Of Science And Engineering Nihon

• Ichimura M.

  Department Of Engineering Physics Electronics And Mechanics Nagoya Institute Of Technology

• Ichimura M.

  Department of Physics and Atomic Energy Research Institute College of Science and Engineering, Nihon University

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