论文标题
非交通性标准模型的扩展和弱顺序一个条件
Extensions of the noncommutative Standard Model and the weak order one condition
论文作者
论文摘要
在从非交通性几何形状的公理中推导标准模型时，标量扇区由有限的狄拉克运算符给出，该操作员必须满足所谓的\ emph {一阶条件}。但是，对此约束的一般解决方案仍然具有非物理术语，必须微调为零。此外，一阶条件通常无法在扩展范围内生存，该模型具有较大的$ u（1）\ times su（2）\ times \ times su（3）$。 In this paper we show that in the $U(1)_{\rm B-L}$-extension one can implement a weaker form of the first-order condition which we argue is necessary in order for Noncommutative Gauge Theory to make sense at all, and that this condition reduce the amount of fine-tuning to the off-diagonal terms in the Yukawa mass matrices for the leptons and quarks.我们还表明，这种情况消除了右撇子中微子的主要质量术语。
In the derivation of the Standard Model from the axioms of Noncommutative Geometry, the scalar sector is given by a finite Dirac operator which has to satisfy the so-called \emph{first-order condition}. However, the general solution to this constraint still has unphysical terms which must be fine-tuned to zero. Moreover, the first-order condition generally does not survive in extensions to models with gauge groups larger that $U(1)\times SU(2)\times SU(3)$. In this paper we show that in the $U(1)_{\rm B-L}$-extension one can implement a weaker form of the first-order condition which we argue is necessary in order for Noncommutative Gauge Theory to make sense at all, and that this condition reduce the amount of fine-tuning to the off-diagonal terms in the Yukawa mass matrices for the leptons and quarks. We also show that this condition eliminates the Majorana mass terms for right-handed neutrinos when it is applied to the Pati-Salam model.
