The π^+ - π^0 Mass Difference and the S Parameter in Large N_f QCD(Particles and Fields)

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概要

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• In the framework of the Schwinger-Dyson equation and the Bethe-Salpeter equation in the improved ladder approximation, we calculate the S parameter and an analogue of the π^+ - π^0 mass difference, [numerical formula], as well as the NG boson decay constant, f_π, on the same footing in large N_f QCD, using the difference between the vector current correlator, Π_<vv>, and the axial-vector current correlator, Π_<AA>. Approaching the chiral phase transition point α_* → α_<cr> (= π/4) from the broken phase, where α_* is the the gauge coupling at the infrared fixed point, the quantities △m^2_π and f^2_π go to zero with an essential-singularity scaling (Miransky scaling), while the ratio exhibits a blowing up enhancement, reflecting the characteristic behavior of large N_f QCD as a walking theory, which is expected to scale as △m^2_π/f^2_π 〜 (α_*/α_<cr> -1)^<-1/2>. By contrast, the S parameter takes values somewhat smaller than that in the case of actual QCD and displays slightly decreasing tendency as we approach the phase transition point.

• 理論物理学刊行会の論文
• 2006-04-25

著者

• Harada Masayasu

  Department of Physics, Nagoya University

• YAMAWAKI Koichi

  Department of Physics, Nagoya University

• Kurachi Masafumi

  Department Of Physics Tohoku University:c.n. Yang Institute For Theoretical Physics State University

• 山脇 幸一

  Department Of Physics Nagoya University

• Yamawaki Koichi

  Department Of Physics Kyoto University

• Harada Masayasu

  Department Of Physics Kyoto University

• Kurachi Masafumi

  Department Of Physics Tohoku University

• Masayasu Harada

  Department Of Physics Nagoya University

• KURACHI Masafumi

  Department of Physics, Tohoku University:C.N. Yang Institute for Theoretical Physics, State University of New York

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