S Parameter in the Holographic Walking/Conformal Technicolor(Particles and Fields)

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概要

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• We explicitly calculate the S parameter in entire parameter space of the holographic walking/conformal technicolor (W/C TC), based on the deformation of the holographic QCD by varying the anomalous dimension from γ_m≃0 through γ_m≃1 continuously. The S parameter is given as a positive monotonic function of ξ which is fairly insensitive to γ_m and continuously vanishes as S〜ξ^2→0 when ξ→0, where ξ is the vacuum expectation value of the bulk scalar field at the infrared boundary of the 5th dimension z=z_m and is related to the mass of (techni-) ρ meson (M_ρ) and the decay constant (f_π) as ξ〜f_πz_m〜f_π/M_ρ for ξ≪1. However, although ξ is related to the techni-fermion condensate <T^^-T>, we find no particular suppression of ζ and hence of S due to large γ_m based on the correct identification of the renormalization-point dependence of <T^^-T> in contrast to the literature. Then we argue possible behaviors of f_π/M_ρ as <T^^-T>→0 near the conformal window characterized by the Banks-Zaks infrared fixed point in more explicit dynamics with γ_m≃1. It is a curious coincidence that the result from ladder Schwinger-Dyson and Bethe-Salpeter equations well fits in the parameter space obtained in this paper. When f_π/M_ρ→0 is realized, the holography suggests a novel possibility that f_π vanishes much faster than the dynamical mass m does.

• 理論物理学刊行会の論文
• 2008-10-25

著者

• YAMAWAKI Koichi

  Department of Physics, Nagoya University

• Matsuzaki Shinya

  Department Of Obstetrics And Gynecology Osaka University Graduate School Of Medicine

• Matsuzaki Shinya

  Department Of Physics And Astronomy University Of North Carolina

• HABA Kazumoto

  Department of Physics, Nagoya University

• Haba Kazumoto

  Department Of Physics Nagoya University

• Yamawaki Koichi

  Department Of Physics Kyoto University

• MATSUZAKI Shinya

  Department of Physics and Astronomy, University of North Carolina

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