论文标题
非交通性几何形状I：字段内容中的扭曲标准模型
Twisted Standard Model in noncommutative geometry I: the field content
论文作者
论文摘要
非交通性几何形状既提供了粒子物理的标准模型的统一描述以及爱因斯坦 - 希尔伯特动作（在欧几里得签名中），也提供了一些工具，可以超越标准模型。在本文中，我们扩展到标准模型的完整非交通几何形状The Twist（从Connes-Moscovici的意义上）最初仅针对Electroweak行业和免费的Dirac Operator进行了处理。也就是说，我们还将扭转局也应用于强大的相互作用部门和狄拉克操作员的有限部分。为此，我们被迫考虑违反扭曲的一阶情况。结果，我们仍然获得了稳定电动真空并安装希格斯质量所需的额外标量场，但现在它具有两个手性成分。我们还获得了Electroweak模型中已经指出的1形的加性场，但结构更丰富。最后，我们获得了一对Higgs Doublet，预计将在动作公式中合并为单个Higgs Doublet，这将在这项工作的第二部分中进行研究。
Noncommutative geometry provides both a unified description of the Standard Model of particle physics together with Einstein-Hilbert action (in euclidean signature) and some tools to go beyond the Standard Model. In this paper, we extend to the full noncommutative geometry of the Standard Model the twist (in the sense of Connes-Moscovici) initially worked out for the electroweak sector and the free Dirac operator only. Namely, we apply the twist also to the strong interaction sector and the finite part of the Dirac operator. To do so, we are forced to take into account a violation of the twisted first-order condition. As a result, we still obtain the extra scalar field required to stabilise the electroweak vacuum and fit the Higgs mass, but it now has two chiral components. We also get the additive field of 1-forms already pointed out in the electroweak model, but with a richer structure. Finally, we obtain a pair of Higgs doublets, which are expected to combine into a single Higgs doublet in the action formula, as will be investigated in the second part of this work.
