Composite Gauge Bosons and "Low Energy Theorems" of Hidden Local Symmetries : Particles and Fields

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概要

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• We show that the vector mesons (ρ,ω,K*,K^^-*,φ) are dynamical gauge bosons of the hidden local symmetry in the U(3)_L×U(3)_R/U(3)_V nonlinear sigma model. General proof is given of the gauge equivalence between a nonlinear sigma model based on the manifold G/H and a "linear" model with G_<global>×H_<local> symmetry, where the latter generally contains arbitrary parameter. Under the assumption that the gauge bonsons of the hidden local symmetry H_<local> develop the kinetic term, we derive "low energy theorems" corresponding to the hidden local symmetry, one of which turns out to be the successful KSRF relation, g_ρ=2g_<ρππ>f_π, in the case G/H = U(3)_L×U(3)_R/U(3)_V. Here, the electromagnetic interaction is introduced in a characteristic way, which via Higgs mechanism naturally leads to the vector meson-γ mixing. The mass of vector mesons is also due to the Higgs mechanism of the hidden local symmetry and, when the above arbitrary parameter is chosen so as to ensure the universality of vector meson couplings, it satisfies another form of the KSRF relation, m_ρ^2=2g^2_<ρππ>f_π^2, and its U(3) versions. The same parameter also yields "vector meson dominance" of the electromagnetic form factor of the pseudoscalar mesons.

• 理論物理学刊行会の論文
• 1985-06-25

著者

• KUGO Taichiro

  Department of Physics, Kyoto University

• 九後 汰一郎

  Department of Physics, Kyoto University

• YAMAWAKI Koichi

  Department of Physics, Nagoya University

• BANDO Masako

  Department of Physics, Kyoto University

• Kugo Taichiro

  Department Of Physics Kyoto University

• 山脇 幸一

  Department Of Physics Nagoya University

• Yamawaki Koichi

  Department Of Physics Kyoto University

• Bando Masako

  Department Of Nuclear Science Kyoto University

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