论文标题
标准模型的弱增值和代数的上选择
Superselection of the weak hypercharge and the algebra of the Standard Model
论文作者
论文摘要
限制Clifford代数的$ \ Mathbb {Z} _2 $征收产品$ c \ ell_4 \ hat {\ otimes} c \ ell_6 $ to粒子子空间可以自然地定义higgs field $φ$，quillen $ cliquillen的标准级$ ell eell $ c $ c.4 $ c.4 $ c。我们强调了精确保守的弱充电y的作用，在此促进了可观察到的和量规变换的超选择规则。这产生了最近与米歇尔·杜波伊斯 - 维奥莱特（Michel Dubois-Violette）\ cite {dt20}的粒子子空间的定义变化;在这里，我们排除了允许混合的无菌（抗）中微子组成的Y的Y eigensubspace。因此，一个人修改了希格斯字段产生的谎言级别的级别。等同于Lepton中$φ$的正常化和夸克子代理，我们获得了W Boson的质量与HIGGS之间的关系，该质量适合于1％的精度以内的实验值。
Restricting the $\mathbb{Z}_2$-graded tensor product of Clifford algebras $C\ell_4\hat{\otimes}C\ell_6 $ to the particle subspace allows a natural definition of the Higgs field $Φ$, the scalar part of Quillen's superconnection, as an element of $C\ell_4^1$. We emphasize the role of the exactly conserved weak hypercharge Y, promoted here to a superselection rule for both observables and gauge transformations. This yields a change of the definition of the particle subspace adopted in recent work with Michel Dubois-Violette \cite{DT20}; here we exclude the zero eigensubspace of Y consisting of the sterile (anti)neutrinos which are allowed to mix. One thus modifies the Lie superalgebra generated by the Higgs field. Equating the normalizations of $Φ$ in the lepton and the quark subalgebras we obtain a relation between the masses of the W boson and the Higgs that fits the experimental values within one percent accuracy.
