标题： 电弱$SU(2)_L \times U(1)_Y$模型与强自发费米子质量生成规范动力学 显示英文标题

标题： Electroweak $SU(2)_L \times U(1)_Y$ model with strong spontaneously fermion-mass-generating gauge dynamics

摘要： 标准模型（SM）的希格斯部分被量子味动力学（QFD）取代，这是一种具有尺度$\Lambda$的规范味$SU(3)_f$对称性。 反常自由要求添加三个$\nu_R$。 近似QFD的欧几里得红外费米子自能的施温格-戴森方程$\Sigma_f(p^2)$具有适合跷跷板机制的自发手征对称性破缺解：(1)$\Sigma_f(p^2)=M_{fR}^2/p$其中三个马约拉纳质量$M_{fR}$的$\nu_{fR}$为$\Lambda$的数量级。 (2) $\Sigma_f(p^2)=m_f^2/p$ 其中三个狄拉克质量 $m_f=m_{(0)}1+m_{(3)}\lambda_3+m_{(8)}\lambda_8$ 为 SM 轻子的 {\it 相对于$\Lambda$指数抑制}，以及 {\it 对$f$中的所有 SM 轻子退化}。 (1) $M_{fR}$ 破坏 $SU(3)_f$ 对称性完全； $m_{(3)},m_{(8)}$ 将微小的破坏叠加到 $U(1) \times U(1)$。 所有味胶子因此自洽地获得质量 $\sim \Lambda$。 (2) 所有$m_f$都打破电弱$SU(2)_L \times U(1)_Y$到$U(1)_{em}$。 复合Nambu-Goldstone玻色子的对称伙伴是真正的希格斯粒子：(1) 三个$\nu_{R}$组成的希格斯粒子$\chi_i$具有质量$\sim \Lambda$。 (2) 两个新的由SM费米子组成的希格斯粒子$h_3, h_8$，质量分别为$\sim m_{(3)}, m_{(8)}$。 (3) 类似于标准模型的由SM费米子组成的希格斯粒子$h$，质量为$\sim m_{(0)}$，有效费米尺度。 $\Sigma_f(p^2)$依赖的顶点在电弱Ward-Takahashi恒等式中意味着：轴矢量项在费米尺度上导致了$W$和$Z$的质量。 极矢量类型在$f$中导致费米子质量分裂。 目前处于探索阶段，这种分裂显得不现实。 显示英文摘要

摘要： Higgs sector of the Standard model (SM) is replaced by quantum flavor dynamics (QFD), the gauged flavor $SU(3)_f$ symmetry with scale $\Lambda$. Anomaly freedom requires addition of three $\nu_R$. The approximate QFD Schwinger-Dyson equation for the Euclidean infrared fermion self-energies $\Sigma_f(p^2)$ has the spontaneous-chiral-symmetry-breaking solutions ideal for seesaw: (1) $\Sigma_f(p^2)=M_{fR}^2/p$ where three Majorana masses $M_{fR}$ of $\nu_{fR}$ are of order $\Lambda$. (2) $\Sigma_f(p^2)=m_f^2/p$ where three Dirac masses $m_f=m_{(0)}1+m_{(3)}\lambda_3+m_{(8)}\lambda_8$ of SM fermions are {\it exponentially suppressed w.r.t. $\Lambda$}, and {\it degenerate for all SM fermions in $f$}. (1) $M_{fR}$ break $SU(3)_f$ symmetry completely; $m_{(3)},m_{(8)}$ superimpose the tiny breaking to $U(1) \times U(1)$. All flavor gluons thus acquire self-consistently the masses $\sim \Lambda$. (2) All $m_f$ break the electroweak $SU(2)_L \times U(1)_Y$ to $U(1)_{em}$. Symmetry partners of the composite Nambu-Goldstone bosons are the genuine Higgs particles: (1) Three $\nu_{R}$-composed Higgses $\chi_i$ with masses $\sim \Lambda$. (2) Two new SM-fermion-composed Higgses $h_3, h_8$ with masses $\sim m_{(3)}, m_{(8)}$, respectively. (3) The SM-like SM-fermion-composed Higgs $h$ with mass $\sim m_{(0)}$, the effective Fermi scale. $\Sigma_f(p^2)$-dependent vertices in the electroweak Ward-Takahashi identities imply: The axial-vector ones give rise to the $W$ and $Z$ masses at Fermi scale. The polar-vector ones give rise to the fermion mass splitting in $f$. At the present exploratory stage the splitting comes out unrealistic.