QCD S Parameter from Inhomogeneous Bethe-Salpeter Equation (Schwinger-Dyson方程式及びBethe-Salpeter方程式によるDynamical Symmetry Breakingの研究)

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概要

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• We calculate the-low-energy parameter S in QCD, which is also known as L_<10>, and the pion decay constant f_π using inhomogeneous Bethe-Salpeter equation in improved ladder approximation. To extract these quantities we calculate the "V-A" two-point function, Π_<VV>(q^2)-Π_<AA>(q^2), in space-like region. We obtain S = 0.43 〜 0.48, which is about 30% larger than the experimental value. The calculated f_π is well consistent with the result by solving the homogeneous Bethe-Salpeter equation for pion. We also evaluate S parameter in SU(3) gauge theory with N_D doublets of fermions in connection with walking technicolor model, and find that the value of S/N_D hardly depends on N_D.

• 素粒子論グループ 素粒子研究編集部の論文
• 1995-05-20

著者

• 吉田 祐介

  京大理

• 原田 正康

  Syracuse Univ.

• 原田 正康

  名古屋大

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